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Chapter 8: Q 131E (page 786)

In the following exercises, simplify.

Part (a):1614

Part (b):1612

Part (c):62514

Short Answer

Expert verified

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

Part (b): On simplifying, we get 4.

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

Step by step solution

01

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

Consider the given question,

1614

Rewrite as a fourth root,

=164

Recognize 16 is a perfect fourth power. Then on simplifying the expression,

=244=2

02

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

Consider the given question,

1612

Rewrite as a square root,

=162

On simplifying the expression,

=4

03

Part (c) 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,

=544=5

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Most popular questions from this chapter

Use the Quotient Property to simplify square roots.

(a)32x5y318x3y

(b)5x6y940x5y33

(c) 5a8b680a3b24

Use the Quotient Property to simplify square roots.

(a)45p95q2

(b)64424

(c) 128x852x25

In the following exercises, solve.
12u+1-11=0

In the following exercises, simplify.

(a) -6432

(b) -64-32

(c)-6432

In the following exercises, simplify using absolute value signs as needed.r25,p85,m54
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