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Chapter 8: Q 130E (page 786)

In the following exercises, simplify.

Part (a):62514

Part (b):24315

Part (c):3215

Short Answer

Expert verified

Part (a): On simplifying, we get 5.

Part (b): On simplifying, we get 3.

Part (c): On simplifying, we get 2.

Step by step solution

01

Part (a) Step 1. Rewrite as a root.

Consider the given question,

62514

Rewrite as a fourth root,

=6254

Recognize 625is a perfect fourth power. Then on simplifying the expression,

role="math" localid="1644764051727" =544=5

02

Part (b) Step 1. Rewrite as a root.

Consider the given question,

24315

Rewrite as a fifth root,

=2435

Recognize 243is a perfect fifth power. Then on simplifying the expression,

=355=3

03

Part (c) Step 1. Rewrite as a root.

Consider the given question,

3215

Rewrite as a fifth root,

=325

Recognize 32is a perfect fifth power. Then on simplifying the expression,

=255=2

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