Chapter P.3, Problem 31E

### 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 x − 2 y 5 9 x − 3 y 2 (b) ( 2 x 3 y − 1 y 2 ) − 2 (c) ( y − 1 x − 2 ) − 1 ( 3 x − 3 y 2 ) − 2

To determine

a)

To Simplify:

The given expressions, 3x2y59x3y2.

Explanation

Given:

The given expression is 3xâˆ’2y59xâˆ’3y2.

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=ambmâ€¦Â (1)

aman=am+nâ€¦(2)

aman=amâˆ’nâ€¦Â (3)

Calculation:

Here, using the Law of Exponents rule (3) and Negative Exponent rule, we can see that

To determine

b)

To Simplify:

The given expressions, (2x3y1y2)2.

To determine

c)

To Simplify:

The given expressions, (y1x2)1(3x3y2)2.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started