Simplify each power of i.   i 12

Q: Write each of the following in standard form.(a) (1 + 4i ) / (5 - 12i )(b) ( 2 - 3i ) / (4 - 3i)

A: a) Given that,  1+4i5-12i Simplification: 1+4i5-12i=1+4i5-12i×5+12i5+12i                Rationalize…

Q: dº (b-10)° (b + 10) Cº

A: To find the interior angles of a parallelogram.

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: Given: 9-40

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: -49

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: We know that, -1=i We have, -84

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: 5-72

Q: ] Simplify the following power of i: i"

A:

Q: The value of +2i+1 is i-1 139 146 124 90

A: Given that  ∑i=16i2+2i+1

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: Given: 12-90

Q: Simplify the following power of i: ¡*

A:

Q: Let a = - 4i – 33+ 3k and b = 4i – 33+ 2k. Find a – 36.

A: given   a→=-4i→-3j→+3k→    and  b→=4i→-3j→+2k→ we have to find a→-3b→

Q: convert each angle in degrees to radians. Express your answer as a multiple of p.   -60  o

A:

Q: Evaluate each expression below without using a calculator. (Assume any variables repre-sent positive…

A: We have to evaluate cos2tan-132. Let t=tan-132⇒tant=32 Given expression will becomes cos2t. We know…

Q: find each of the indicated products or quotients, and express the answers in standard form. (5 -…

A: To find product                           (5-2i)(4+6i)

Q: Simplify each power of i.   i -43

A:

Q: Factor each expression completely.     a. 1- y2b. 1 - cos 2 theta

A: We have to factor the given expression. We know the identity a2-b2=a+ba-b (a) We have to factor 1-y2…

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: Consider the provided expression, -75 Write the above expression in terms of i and simplify.

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: Given the term √-(16/25). We need to simplify the given term and express it in the form of i.

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: -63 = -163…

Q: Write each of the given numbers in the form a + bi : e3i – e-3i (a) 2i i, (b) 8e(8+) i, (c) e i. +

A:

Q: Evaluate each expression below without using a calculator. (Assume any variables repre-sent positive…

A: The given expression is cos2tan-13.

Q: Simplify the following power of i: i"

A:

Q: Write each of the following as re": A) 3 +3i B) 16 – 32i

A: Rectangular to polar conversion is used to write the given equations in  exponential form

Q: Simplify each power of i. Use either i, −1, −i or 1.      a. i12 =       b. i13 =       c. i14 =…

A:

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: We have to write the term in terms of i: -6436 We know that i=-1 Where, i is imaginary unit.

Q: Write each expression as a product.  sin3θ+sin10θ

A:

Q: Simplify each power of i.   i 22

A: We have to simplify the power of i: i22 We know that i=-1⇒i2=-1 Where, i is the imaginary unit.

Q: Multiply (4-3i)(4+3i) and write the final answer in the phone a+bi

A: The given data is: 4-3i4+3i To write the final answer in the form of a+ib

Q: 3-2i 7.) 4- 3i

A:

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: Given: -18we know-1=iwe can rewrite -18=-1×18=-1×18=i18 18 can be written as 9×29×2 and we know…

Q: perform the indicated operation and simplify. (4 - 3i)(4 + 3i)

A: (4-3i)(4+3i)

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: We have to write in terms of i for the given expression: -33 We know that i=-1 Where, i is imaginary…

Q: Simplify the following power of i: i7

A: Solving the problem by finding the value of i^37.

Q: Determine if the statement is true or false. 100 100 (4i – 2) = -200 + 4 i i=1 i=1

A:

Q: Perform the indicated operations. 1. (1−2i)+(3+5i)−(3i)−(7−8i) 2. (2−3i)(6−i)(i)

A: (1) (1-2i)+(3+5i)-(3i)-(7-8i) = 1-2i+3+5i-3i-7+8i= (1+3-7)+(-2+5-3+8)i= -3+8i

Q: Perform the indicated operation a) (12 + 2i) - (4 – 3i)

A:

Q: Write the given numbers in the form a + bi where a, b ∈ R. (i) (−2 + 2i)5

A: In this question we we use (a+b)^2=a^2+b^2+2ab . we know that i^=-1.

Q: Simplify each expression. 6.) (4 +3i) – (–1 + 41)

A:

Q: Simplify each power of i.   i 34

A: We have to simplify the power of i: i34 We know that i=-1⇒i2=-1 Where, i is the imaginary unit. We…

Q: Factor each expression completely.     a. x2 - xy b. sin2 theta - sin theta cos theta

A: To factorize an expression, we take common factors of all the terms of the expression. a. The given…

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: Our Aim is to simplify -81 and to write in terms of i.

Q: write each of the following in terms of i and simplify. For example, √-20 = i √20 = i √4√5 = 2i √5.…

A: To write the expression in terms of i and simplify: -14 Solution: We know that, a·b=a·b, if at least…

Q: 1. Write each power of i in the form a+bi, where a and b are real numbers. i^0

A: Any value to the power 0 is = 1 So, i0=1

Q: Write each of the following in degrees.     2 pi /3

A: Given:             2π3 To convert radians to degrees, simply multiply by 180π

Q: Simplify the power of i. 21

A: Given to simplify i^21 We know that i is a complex number i.e, (-1)^(1/2) We know that i^2 = -1, i^4…