Express using positive exponents and simplify, if possible: (a) 32, (b) y-1,(c) (-2)-3, and (d) 5-2 – 10-2Since each exponent is a negative number, we will use the negative exponent rule.This rule enables us to write an exponential expression that has a negative exponent in an equivalent form using a positive exponent.1(a)3-2Write the reciprocal of 3-2 and change the sign of the exponent.3132 = 9.(b)-1and change the sign of the exponent.-1Write the reciprocal of y1%3D1(c)(-2)-3Because of the parentheses, the base is –2. Write the reciprocal of (-2)¯³ and change the exponent from -3 to 3.(-2)(-2)³ = -8.1(d)5-2 - 10-2 =Write the reciprocal of 5-2 and 10-2 and change the sign of each exponent.1011Evalute: 52 = 25 and 102 = 100.1Build 1/25 to have a denominator of 100 so that the fractions can be subtracted: 1/25 = 1/25· 4/44/100100100100Simplify: (a) 3-2, (b)(c) (-4)-2, (d) 3-3 – 9-2(a)(b)||II Simplify: (a) 3-2, (b) x-8, (c) (-4)-2, (d) 3-3 – 9-2(a)(b)(c)(d)

Solution of part (a): 3-2=132 =19 Solution of part (b): x-8=1x8

Answered: Simplify: (a) 3-2, (b) х-8, (с) (-4)-2,…

Math

Calculus

Simplify: (a) 3-2, (b) х-8, (с) (-4)-2, (d) 3-3 - 9-2 (а) (b) (с) (d)

PREALGEBRA

15th Edition

ISBN:9781938168994

Author:OpenStax

Publisher:OpenStax

Chapter10: Polynomials

Section10.5: Integer Exponents And Scientific Notation

Problem 421E: When you convert a number from decimal notation to scientific notation, how do you know if the...

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Question

Express using positive exponents and simplify, if possible: (a) 32, (b) y-1,
(c) (-2)-3, and (d) 5-2 – 10-2
Since each exponent is a negative number, we will use the negative exponent rule.
This rule enables us to write an exponential expression that has a negative exponent in an equivalent form using a positive exponent.
1
(a)
3-2
Write the reciprocal of 3-2 and change the sign of the exponent.
3
1
32 = 9.
(b)
-1
and change the sign of the exponent.
-1
Write the reciprocal of y
1
%3D
1
(c)
(-2)-3
Because of the parentheses, the base is –2. Write the reciprocal of (-2)¯³ and change the exponent from -3 to 3.
(-2)
(-2)³ = -8.
1
(d)
5-2 - 10-2 =
Write the reciprocal of 5-2 and 10-2 and change the sign of each exponent.
10
1
1
Evalute: 52 = 25 and 102 = 100.
1
Build 1/25 to have a denominator of 100 so that the fractions can be subtracted: 1/25 = 1/25· 4/4
4/100
100
100
100
Simplify: (a) 3-2, (b)
(c) (-4)-2, (d) 3-3 – 9-2
(a)
(b)
||
II

Simplify: (a) 3-2, (b) x-8, (c) (-4)-2, (d) 3-3 – 9-2
(a)
(b)
(c)
(d)

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