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Chapter 8: Q 134E (page 786)

In the following exercises, simplify.

Part (a):-100013

Part (b):-100013

Part (c): 1000-13

Short Answer

Expert verified

Part (a): On simplifying, we get -10.

Part (b): On simplifying, we get -10.

Part (c): On simplifying, we get 110.

Step by step solution

01

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

Consider the given question,

-100013

Rewrite as a cube root,

localid="1644767968693" =-10003

On simplifying the expression,

localid="1644770332482" =-1033=-10

02

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

Consider the given question,

-100013

The exponent only applies to the 1000.

Rewrite as a cube root,

role="math" localid="1644768108079" =-10003

On simplifying the expression,

=-1033=-10

03

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

Consider the given question,

1000-13

Rewrite using the property a-n=1an,

=1100013

Rewrite as a cube root,

=110003

On simplifying the expression,

=11033=110

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