Chapter P.3, Problem 33E

### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

Chapter
Section

### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem
1 views

# 25-34 Simplifying Expressions with Exponents Simplify each expression, and eliminate any negative exponents(s). (a) ( 3 a b 3 ) − 1 (b) ( q − 1 r − 1 s − 2 r − 5 s q − 8 ) − 1

To determine

(a)

To Simplify:

The given expression, (3ab3)1.

Explanation

Given:

The given expression is (3ab3)âˆ’1.

Procedure used:

According to the Zero and Negative Exponents rule, we can see that if aâ‰ 0 is a real number and n is a positive integer, then

a0=1 and aâˆ’n=1an

From, the law of exponents, we know that

(ab)m=ambm â€¦ (1)

aman=am+n â€¦ (2)

aman=amâˆ’n â€¦ (3)

Calculation:

Here, using the Law of Exponents rule (1) and Negative Exponent rule, we can see that

<

To determine

(b)

To Simplify:

The given expression, (q1r1s2r5sq8)1.

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