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Chapter 11: Q 128E (page 1069)

In the following exercises, write with a rational exponent.

Part (a):25a3

Part (b): 3b

Part (c):40c8

Short Answer

Expert verified

Part (a): On writing with a rational exponent form, we get25a13.

Part (b): On writing with a rational exponent form, we get localid="1663339405840" 3b12.

Part (c): On writing with a rational exponent form, we get 40c18.

Step by step solution

01

Part (a) Step 1. Write with a rational exponent.

Consider the given question,

25a3

We want to use amn=amnto write each radical in the form amn.

Therefore, we can write,

=25a13

02

Part (b) Step 1. Write with a rational exponent.

Consider the given question,

3b

We want to use amn=amnto write each radical in the form amn.

Therefore, we can write,

localid="1663339552614" =3b12

03

Part (c) Step 1. Write with a rational exponent.

Consider the given question,

40c8

We want to use amn=amnto write each radical in the form amn.

Therefore, we can write,

=40c18

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