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Chapter 9: Q 553. (page 1144)

In the following exercises, write with a rational exponent.

(a)a3

(b)b5

(c)c53

Short Answer

Expert verified

Part (a)a3=a13

Part (b)b5=b52

Part (c)role="math" localid="1650677287096" c53=c53

Step by step solution

01

Part (a) Step1. Given information  

The given expression is a3.

02

Part (a) Step2.  The numerator of the exponent is the exponent of  a , 1 .

a3

03

Part (a) Step3.  The denominator of the exponent is the index of the radical,  3 .

a13

04

Part (b) Step1. Given information 

The given expression isb5.

05

Part (b) Step2.  The numerator of the exponent is the exponent of b, 5 .

b52

06

Part (b) Step3.  The denominator of the exponent is the index of the radical, 2 .

b52

07

Part (c) Step1. Given information   

The given expression is c53.

08

Part (c) Step2.  The numerator of the exponent is the exponent of  c , 5 .

c53

09

Part (c) Step3.  The denominator of the exponent is the index of the radical,  3 .

c53

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