Chapter P.3, Problem 30E

### 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) ( x − 2 y 4 ) − 3 (b) ( y 2 ) − 1 ( 2 x − 3 y 4 ) − 3 (c) ( 2 a − 1 b − 2 ) − 3 ( b − 1 2 a 2 ) 2

To determine

(a)

To Simplify:

The given expression, (x2y4)3.

Explanation

Given:

The given expression is (xâˆ’2y4)âˆ’3.

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 r

To determine

(b)

To Simplify:

The given expression, (y2)1(2x3y4)3.

To determine

(c)

To Simplify:

The given expression, (2a1b2)3(b12a2)2.

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