   Chapter 1.4, Problem 1E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Use the Law of Exponents to rewrite and simplify the expression.1. (a) 4 − 3 2 − 8 (b) 1 x 4 3

(a)

To determine

To simplify: The expression 4328 , use law of exponents.

Explanation

Law of exponents:

If x and y are positive numbers and m and n are real numbers, then

a.xm+n=xmxnb.xmn=xmxnc.(xm)n=xmnd.(xy)m=xmyn

Calculation:

Use the rule, xa=1xa , and rewrite the expression as 4328=2843 .

Express 4 as a power of 2, 2843=28(22)3

(b)

To determine

To simplify: The expression 1x43 , use law of exponents.

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