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Chapter 8: Q 136E (page 786)

In the following exercises, simplify.

Part (a):-4912

Part (b): -4912

Part (c):49-12

Short Answer

Expert verified

Part (a): On simplifying, we know the solution is not real.

Part (b): On simplifying, we get -7.

Part (c): On simplifying, we get 17.

Step by step solution

01

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

Consider the given question,

-4912

Rewrite as a square root,

=-492

On simplifying the expression,

=-722

The solution is not real.

02

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

Consider the given question,

-4912

The exponent only applies to the 49.

Rewrite as a square root,

=-492

On simplifying the expression,

=-722=-7

03

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

Consider the given question,

49-12

Rewrite using the property a-n=1an,

=14912

Rewrite as a square root,

=1492

On simplifying the expression,

=1722=17

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