Sample Solution from
College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Chapter 0
Problem 1P
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Textbook Problem

Use the exponent rules to simplify the following expressions:

1. (−3x4y2)2

Expert Solution
To determine

Use the exponent rules to simply the expression (−3x4y2)2.

Answer

The simplified expression is 9x8y4.

Explanation of Solution

The product rule: (x)m(x)n=xm+n

The quotient rule: xmxn=xm−n

The first power rule: (xm)n=xmn

Other power rules:

(xy)m=(xm)(ym)(xy)m=xmym

Conclusion:

Apply the power rule.

(−3x4y2)2=(−3)2(x4)2(y2)2=(9)(x4 ×2)(y2×2)=9x8y4

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