Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Elementary Algebra
Simplify: (3u5v7)(4u4v2) .Simplify: (6c6d4)(5c2d1)Simplify: (4x4)2Simplify: (2b3)4 .Simplify: (8a4)2 .Simplify: (2c4)3Simplify: x8x3 .Simplify: y8y6 .Write in scientific notation: 96,000.Write in scientific notation: 48,300.Write in scientific notation: 0.0078.Write in scientific notation: 0.0 129.Convert to decimal form: 1.3103 .Convert to decimal form: 9.25104 .Convert to decimal form: 1.2104 .Convert to decimal form: 7.5102 .Multiply (3106)(2108) . Write answers in decimal form.Multiply (3102)(3101) . Write answers in decimal form.Divide 81042101 . Write answers in decimal form.Divide 81024102 . Write answers in decimal form.In the following exercises, simplify. 500. (a) 42 (b) 103In the following exercises, simplify. 501. (a) 34 (b) 102In the following exercises, simplify. 502. (a) 53 (b) 105In the following exercises, simplify. 503. (a) 28 (b) 102In the following exercises, simplify. 504. (a) 1c5 (b) 132In the following exercises, simplify. 505. (a) 1c5 (b) 152In the following exercises, simplify. 506. (a) 1q10 (b) 1103In the following exercises, simplify. 507. (a) 1t9 (b) 1104In the following exercises, simplify. 508. (a) (58)2 (b) ( 3mn)2In the following exercises, simplify. 509. (a) (3 10)2 (b) (2 cd)3In the following exercises, simplify. 510. (a) (49)3 (b) ( u 2 2v)5In the following exercises, simplify. 511. (a) (72)3 (b) (3 x y 2 )3In the following exercises, simplify. 512. (a) (5)2 (b) 52 (c) (15)2 (d) (15)2In the following exercises, simplify. 513. (a) (7)2 (b) 72 (c) (17)2 (d) (17)2In the following exercises, simplify. 514. (a) 33 (b) (13)3 (c) (13)3 (d) (3)3In the following exercises, simplify. 515. (a) 53 (b) (15)3 (c) (15)3 (d) (5)3In the following exercises, simplify. 516. (a) 351 (b) (35)1In the following exercises, simplify. 517. (a) 251 (b) (25)1In the following exercises, simplify. 518. (a) 452 (b) (45)2In the following exercises, simplify. 519. (a) 342 (b) (34)2In the following exercises, simplify. 520. (a) m4 (b) (x3)4In the following exercises, simplify. 521. (a) b5 (b) (k2)5In the following exercises, simplify. 522. (a) p10 (b) (q6)8In the following exercises, simplify. 523. (a) s8 (b) (a9)10In the following exercises, simplify. 524. (a) 7n1 (b) (7n)1 (c) (7n)1In the following exercises, simplify. 525. (a) 6r1 (b) (6r)1 (c) (6r)1In the following exercises, simplify. 526. (a) (3p)2 (b) 3p2 (c) 3p2In the following exercises, simplify. 527. (a) (2q)4 (b) 2q4 (c) 2q4In the following exercises, simplify. 528. (a) b4b8 (b) r2r5 (c) x7x3In the following exercises, simplify. 529. (a) s3s7 (b) q8q3 (c) y2y5In the following exercises, simplify. 530. (a) a3a3 (b) aa3 (c) aa3In the following exercises, simplify. 531. (a) y5y5 (b) yy5 (c) yy5In the following exercises, simplify. 532. p5p2p4In the following exercises, simplify. 533. x4x2x3In the following exercises, simplify. 534. (w4x5)(w2x4)In the following exercises, simplify. 535. (m3n3)(m5n1)In the following exercises, simplify. 536. (uv2)(u5v3)In the following exercises, simplify. 537. (pq4)(p6q3)In the following exercises, simplify. 538. (6c3d9)(2c4d5)In the following exercises, simplify. 539. (2j5k8)(7j2k3)In the following exercises, simplify. 540. (4r2s8)(9r4s3)In the following exercises, simplify. 541. (5m4n6)(8m5n3)In the following exercises, simplify. 542. (5x2)2In the following exercises, simplify. 543. (4y3)3In the following exercises, simplify. 544. (3z3)2In the following exercises, simplify. 545. (2p5)2In the following exercises, simplify. 546. t9t3In the following exercises, simplify. 547. n5n2In the following exercises, simplify. 548. x7x3In the following exercises, simplify. 549. y5y10In the following exercises, write each number in scientific notation. 550. 57,000In the following exercises, write each number in scientific notation. 551. 340,000In the following exercises, write each number in scientific notation. 552. 8,750,000In the following exercises, write each number in scientific notation. 553. 1,290,000In the following exercises, write each number in scientific notation. 554. 0.026In the following exercises, write each number in scientific notation. 555. 0.041In the following exercises, write each number in scientific notation. 556. 0.00000871In the following exercises, write each number in scientific notation. 557. 0.00000103In the following exercises, write each number in scientific notation. 558. 5.2102In the following exercises, write each number in scientific notation. 559. 8.3102In the following exercises, convert each number to decimal form. 560. 7.5106In the following exercises, convert each number to decimal form. 561. 1.61010In the following exercises, convert each number to decimal form. 562. 2.5102In the following exercises, convert each number to decimal form. 563. 3.8102In the following exercises, convert each number to decimal form. 564. 4.13105In the following exercises, convert each number to decimal form. 565. 1.93105In the following exercises, multiply. Write your answer in decimal form. 566. (3105)(3109)In the following exercises, multiply. Write your answer in decimal form. 567. (2102)(1104)In the following exercises, multiply. Write your answer in decimal form. 568. (7.1102)(2.4104)In the following exercises, multiply. Write your answer in decimal form. 569. (3.5104)(1.6102)In the following exercises, multiply. Write your answer in decimal form. 570. 71031107In the following exercises, multiply. Write your answer in decimal form. 571. 510211010In the following exercises, multiply. Write your answer in decimal form. 572. 61043102In the following exercises, multiply. Write your answer in decimal form. 573. 81064101The population of the United States on July 4, 2010 was almost 310,000,000. Write the number in scientific notation.The population of the world on July 4, 2010 was more than 6,850,000,000. Write the number in scientific notationThe average width of a human hair is 0.0018 centimeters. Write the number in scientific notation.The probability of winning the 2010 Megamillions lottery was about 0.0000000057. Write the number in scientific notation.In 2010, the number of Facebook users each day who changed their status to ‘engaged’ was 2104 . Convert this number to decimal form.At the start of 2012, the US federal budget had a deficit of more than 1.51013 . Convert this number to decimal form.The concentration of carbon dioxide in the atmosphere is 3.9104 . Convert this number to decimal form.The width of a proton is 1105 of the width of an atom. Convert this number to decimal form.Health care costs The Centers for Medicare and Medicaid projects that consumers will spend more than $4 trillion on health care by 2017. (a) Write 4 trillion in decimal notation. (b) Write 4 trillion in scientific notation.Coin production In 1942, the U.S. Mint produced 154,500,000 nickels. Write 154,500,000 in scientific notation.Distance The distance between Earth and one of the brightest stars in the night star is 33.7 light years. One light year is about 6,000,000,000,000 (6 trillion), miles. (a) Write the number of miles in one light year in scientific notation. (b) Use scientific notation to find the distance between Earth and the star in miles. Write the answer in scientific notation.Debt At the end of fiscal year 2015 the gross United States federal government debt was estimated to be approximately $18,600,000,000.000 ($18.6 trillion), according to the Federal Budget. The population of the United States was approximately 300,000,000 people at the end of fiscal year 2015. (a) Write the debt in scientific notation. (b) Write the population in scientific notation. (c) Find the amount of debt per person by using scientific notation to divide the debt by the population. Write the answer in scientific notation.(a) Explain the meaning of the exponent in the expression 23 . (b) Explain the meaning of the exponent in the expression 23 .When you convert a number from decimal notation to scientific notation, how do you know if the exponent will be positive or negative?In the following exercises, determine if each of the following polynomials is a monomial, binomial, trinomial, or other polynomial. 588. (a) 11c423c2+1 (b) 9p3+6p2p5 (c) 37x+514 (d) 10 (e) 2y12In the following exercises, determine if each of the following polynomials is a monomial, binomial, trinomial, or other polynomial. 589. (a) a2b2 (b) 24d3 (c) x2+8x10 (d) m2n22mn+6 (e) 7y3+y22y4In the following exercises, determine the degree of each polynomial. 590. (a) 3x2+9x+10 (b) 14a2bc (c) 6y+1 (d) n34n2+2n8 (e) 19In the following exercises, determine the degree of each polynomial. 591. (a) 5p38p2+10p4 (b) 20q4 (c) x2+6x+12 (d) 23r2s24rs+5 (e) 100In the following exercises, add or subtract the monomials. 592. 5y3+8y3In the following exercises, add or subtract the monomials. 593. 14k+19kIn the following exercises, add or subtract the monomials. 594. 12q(6q)In the following exercises, add or subtract the monomials. 595. 9c18cIn the following exercises, add or subtract the monomials. 596. 12x4y9xIn the following exercises, add or subtract the monomials. 597. 3m2+7n23m2In the following exercises, add or subtract the monomials. 598. 6x2y4x+8xy2In the following exercises, add or subtract the monomials. 599. 13a+bIn the following exercises, add or subtract the polynomials. 600. (5x2+12x+1)+(6x28x+3)In the following exercises, add or subtract the polynomials. 601. (9p25p+3)+(4p24)In the following exercises, add or subtract the polynomials. 602. (10m28m1)(5m2+m2)In the following exercises, add or subtract the polynomials. 603. (7y28y)(y4)In the following exercises, add or subtract the polynomials. 604.Subtract (3s2+10) from (15s22s+8)In the following exercises, add or subtract the polynomials. 605. Find the sum of (a2+6a+9) and (5a37)In the following exercises, evaluate each polynomial for the given value. 606.Evaluate 3y2y+1 when: (a) y=5 (b) y=1 (c) y=0In the following exercises, evaluate each polynomial for the given value. 607. Evaluate 1012x when: (a) x=3 (b) x=0 (c) x=1In the following exercises, evaluate each polynomial for the given value. 608. Randee drops a stone off the200 foot high cliff into the ocean. The polynomial 16t2+200 gives the height of a stone t seconds after it is dropped from the cliff. Find the height after t=3 seconds.In the following exercises, evaluate each polynomial for the given value. 609. A manufacturer of stereo sound speakers has found that the revenue received from selling the speakers at a cost of p dollars each is given by the polynomial 4p2+460p . Find the revenue received when p=75 dollars.In the following exercises, simplify. 610. 104In the following exercises, simplify. 611. 171In the following exercises, simplify. 612. (29)2In the following exercises, simplify. 613. (0.5)3In the following exercises, simplify. 614. (2)6In the following exercises, simplify. 615. 26In the following exercises, simplify each expression. 616. x4x3In the following exercises, simplify each expression. 617. p15p16In the following exercises, simplify each expression. 618. 41046In the following exercises, simplify each expression. 619. 885In the following exercises, simplify each expression. 620. nn2n4In the following exercises, simplify each expression. 621. ycy3In the following exercises, simplify each expression. 622. (m3)5In the following exercises, simplify each expression. 623. (53)2In the following exercises, simplify each expression. 624. (y4)xIn the following exercises, simplify each expression. 625. (3r)sIn the following exercises, simplify each expression. 626. (4a)2In the following exercises, simplify each expression. 627. (5y)3In the following exercises, simplify each expression. 628. (2mn)5In the following exercises, simplify each expression. 629. (10xyz)3In the following exercises, simplify each expression. 630. (p2)5(p3)6In the following exercises, simplify each expression. 631. (4a3b2)3In the following exercises, simplify each expression. 632. (5x)2(7x)In the following exercises, simplify each expression. 633. (2q3)4(3q)2In the following exercises, simplify each expression. 634. (13x2)2(12x)3In the following exercises, simplify each expression. 635. (25m2n)3In the following exercises 8, multiply the monomials. 636. (15x2)(6x4)In the following exercises 8, multiply the monomials. 637. (9n7)(16n)In the following exercises 8, multiply the monomials. 638. (7p5q3)(8pq9)In the following exercises 8, multiply the monomials. 639. (59ab2)(27ab3)In the following exercises, multiply. 640. 7(a+9)In the following exercises, multiply. 641. 4(y+13)In the following exercises, multiply. 642. 5(r2)In the following exercises, multiply. 643. p(p+3)In the following exercises, multiply. 644. m(m+15)In the following exercises, multiply. 645. 6u(2u+7)In the following exercises, multiply. 646. 9(b2+6b+8)In the following exercises, multiply. 647. 3q2(q27q+6)3In the following exercises, multiply. 648. (5z1)zIn the following exercises, multiply. 649. (b4)11In the following exercises, multiply the binomials using: (a) the Distributive Property, (b) the FOIL method, (c) the Vertical Method. 450. (x4)(x+10)In the following exercises, multiply the binomials using: (a) the Distributive Property, (b) the FOIL method, (c) the Vertical Method. 451. (6y7)(2y5)In the following exercises, multiply the binomials. Use any method. 652. (x+3)(x+9)In the following exercises, multiply the binomials. Use any method. 653. (y4)(y8)In the following exercises, multiply the binomials. Use any method. 654. (p7)(p+4)In the following exercises, multiply the binomials. Use any method. 655. (q+16)(q3)In the following exercises, multiply the binomials. Use any method. 656. (5m8)(12m+1)In the following exercises, multiply the binomials. Use any method. 657. (u2+6)(u25)In the following exercises, multiply the binomials. Use any method. 658. (9xy)(6x5)In the following exercises, multiply the binomials. Use any method. 659. (8mn+3)(2mn1)In the following exercises, multiply using (a) the Distributive Property, (b) the Vertical Method. 660. (n+1)(n2+5n2)In the following exercises, multiply using (a) the Distributive Property, (b) the Vertical Method. 661. (3x4)(6x2+x10)In the following exercises, multiply. Use either method. 662. (y2)(y28y+9)In the following exercises, multiply. Use either method. 663. (7m+1)(m210m3)In the following exercises, square each binomial using the Binomial Squares Pattern. 664. (c+11)2In the following exercises, square each binomial using the Binomial Squares Pattern. 665. (q15)2In the following exercises, square each binomial using the Binomial Squares Pattern. 666. (x+13)2In the following exercises, square each binomial using the Binomial Squares Pattern. 667. (8u+1)2In the following exercises, square each binomial using the Binomial Squares Pattern. 668. (3n32)2In the following exercises, square each binomial using the Binomial Squares Pattern. 669. (4a3b)2In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern. 670. (s7)(s+7)In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern. 671. (y+25)(y25)In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern. 672. (12c+13)(12c13)In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern. 673. (6r)(6+r)In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern. 674. (u+34v)(u34v)In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern. 675. (5p44q3)(5p4+4q3)In the following exercises, find each product. 676. (3m+10)2In the following exercises, find each product. 677. (6a+11)(6a11)In the following exercises, find each product. 678. (5x+y)(x5y)In the following exercises, find each product. 679. (c4+9d)2In the following exercises, find each product. 680. (p5+q5)(p5q5)In the following exercises, find each product. 681. (a2+4b)(4ab2)In the following exercises, simplify. 682. u24u6In the following exercises, simplify. 683. 1025105In the following exercises, simplify. 684. 3436In the following exercises, simplify. 685. v12v48In the following exercises, simplify. 686. xx5In the following exercises, simplify. 687. 558In the following exercises, simplify. 688. 750In the following exercises, simplify. 689. x0In the following exercises, simplify. 690. 120In the following exercises, simplify. 691. (120)(12)0In the following exercises, simplify. 692. 25x0In the following exercises, simplify. 693. (25x)0In the following exercises, simplify. 694. 19n025m0In the following exercises, simplify. 695. (19n)0(25m)0In the following exercises, simplify. 696. (25)3In the following exercises, simplify. 697. (m3)4In the following exercises, simplify. 698. (rs)8In the following exercises, simplify. 699. (x 2y)6In the following exercises, simplify. 700. ( x 3 )5x9In the following exercises, simplify. 701. n10( n 5 )2In the following exercises, simplify. 702. ( q 6 q 8 )3In the following exercises, simplify. 703. ( r 8 r 3 )4In the following exercises, simplify. 704. ( c 2 d 5 )9In the following exercises, simplify. 705. ( 3 x 4 2 y 2 )5In the following exercises, simplify. 706. ( v 3 v 9 v 6 )4In the following exercises, simplify. 707. ( 3 n 2 )4( 5 n 4 )3( 2 n 5 )2In the following exercises, divide the monomials. 708. 65y145y2In the following exercises, divide the monomials. 709. 64a5b916a10b3In the following exercises, divide the monomials. 710. 144x15y8z318x10y2z12In the following exercises, divide the monomials. 711. (8p6q2)(9p3q5)16p8q7In the following exercises, divide each polynomial by the monomial. 712. 42z218z6In the following exercises, divide each polynomial by the monomial. 713. (35x275x)5xIn the following exercises, divide each polynomial by the monomial. 714. 81n4+105n23In the following exercises, divide each polynomial by the monomial. 715. 550p6300p410p3In the following exercises, divide each polynomial by the monomial. 716. (63xy3+56x2y4)(7xy)In the following exercises, divide each polynomial by the monomial. 717. 96a5b248a4b356a2b48ab2In the following exercises, divide each polynomial by the monomial. 718. 57m212m+13mIn the following exercises, divide each polynomial by the monomial. 719. 105y5+50y35y5y3In the following exercises, divide each polynomial by the binomial. 720. (k22k99)(k+9)In the following exercises, divide each polynomial by the binomial. 721. (v216v+64)(v8)In the following exercises, divide each polynomial by the binomial. 722. (3x28x35)(x5)In the following exercises, divide each polynomial by the binomial. 723. (n23n14)(n+3)In the following exercises, divide each polynomial by the binomial. 724. (4m3+m5)(m1)In the following exercises, divide each polynomial by the binomial. 725. (u38)(u2)In the following exercises, simplify. 726. 92In the following exercises, simplify. 727. (5)3In the following exercises, simplify. 728. 343In the following exercises, simplify. 729. (6u)3In the following exercises, simplify. 730. (25)1In the following exercises, simplify. 731. (34)2In the following exercises, simplify. 732. p2p8In the following exercises, simplify. 733. q6q5In the following exercises, simplify. 734. (c2d)(c3d2)In the following exercises, simplify. 735. (y8)1In the following exercises, simplify. 736. (q 4)3In the following exercises, simplify. 737. a8a12In the following exercises, simplify. 738. n5n4In the following exercises, simplify. 739. r2r3In the following exercises, write each number in scientific notation. 740. 8,500,000In the following exercises, write each number in scientific notation. 741. 0.00429In the following exercises, write each number in scientific notation. 742. The thickness of a dime is about 0.053 inches.In the following exercises, write each number in scientific notation. 743. In 2015, the population of the world was about 7,200,000,000 people.In the following exercises, convert each number to decimal form. 744. 3.8105In the following exercises, convert each number to decimal form. 745. 1.51010In the following exercises, convert each number to decimal form. 746. 9.1107In the following exercises, convert each number to decimal form. 747. 5.5101In the following exercises, multiply and write your answer in decimal form. 748. (2105)(4103)In the following exercises, multiply and write your answer in decimal form. 749. (3.5102)(6.2101)In the following exercises, divide and write your answer in decimal form. 750. 81054101In the following exercises, divide and write your answer in decimal form. 751. 91053102For the polynomial 10x4+9y21 (a) Is it a monomial, binomial, or trinomial? (b) What is its degree?In the following exercises, simplify each expression. 753. (12a27a+4)+(3a2+8a10)In the following exercises, simplify each expression. 754. (9p25p+1)(2p26)In the following exercises, simplify each expression. 755. (25)3In the following exercises, simplify each expression. 756. uu2In the following exercises, simplify each expression. 757. (4a3b5)2In the following exercises, simplify each expression. 758. (9r4s5)(4rs7)In the following exercises, simplify each expression. 759. 3k(k27k+13)In the following exercises, simplify each expression. 760. (m+6)(m+12)In the following exercises, simplify each expression. 761. (v9)(9v5)In the following exercises, simplify each expression. 762. (4c11)(3c8)In the following exercises, simplify each expression. 763. (n6)(n25n+4)In the following exercises, simplify each expression. 764. (2x15y)(5x+7y)In the following exercises, simplify each expression. 765. (7p5)(7p+5)In the following exercises, simplify each expression. 766. (9v2)2In the following exercises, simplify each expression. 767. 38310In the following exercises, simplify each expression. 768. ( m 4 m m 3 )6In the following exercises, simplify each expression. 769. (87x 15y3z 22)0In the following exercises, simplify each expression. 770. 80c8d216cd10In the following exercises, simplify each expression. 771. 12x2+42x62xIn the following exercises, simplify each expression. 772. (70xy4+95x3y)5xyIn the following exercises, simplify each expression. 773. 64x314x1In the following exercises, simplify each expression. 774. (y25y18)(y+3)In the following exercises, simplify each expression. 775. 52In the following exercises, simplify each expression. 776. (4m)3In the following exercises, simplify each expression. 777. q4q5In the following exercises, simplify each expression. 778. n2n10In the following exercises, simplify each expression. 779. Convert 83,000,000 to scientific notation.