Chapter P.3, Problem 32E

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) 1 2 a − 3 b − 4 2 a − 5 b − 1 (b) ( x 2 y 5 x 4 ) − 2 (c) ( 2 y − 1 z z 2 ) − 1 ( y 3 z 2 ) 2

To determine

(a)

To Simplify:

The given expression, 12a3b42a5b1.

Explanation

Given:

The given expression is

12aâˆ’3bâˆ’42aâˆ’5bâˆ’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 (3) and Negative Exponent rule, we can see that

12aâˆ’3

To determine

(b)

To Simplify:

The given expression, (x2y5x4)2.

To determine

(c)

To Simplify:

The given expression, (2y1zz2)1(y3z2)2.

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