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Chapter 8: Q 140E (page 768)

In the following exercises, simplify.

Part (a):-3215

Part (b):243-15

Part (c):-12513

Short Answer

Expert verified

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

Part (b): On simplifying, we get 13.
Part (c): On simplifying, we get -5.

Step by step solution

01

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

Consider the given question,

-3215

Rewrite as a fifth root,

=-325

On simplifying the expression,

=-255

The solution is not real.

02

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

Consider the given question,

243-15

Rewrite using the propertya-n=1an,

=124315

Rewrite as a fifth root,

=12435

On simplifying the expression,

=1355=13

03

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

Consider the given question,

-12513

The exponent only applies to the 125.

Rewrite as a cube root,

=-1253

On simplifying the expression,

=-533=-5

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