BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1, Problem 21RE
To determine

Simplify the expression.

Expert Solution

Answer to Problem 21RE

  12xy8

Explanation of Solution

Given information:

Simplify the expression.

  (3xy2)3(23x1y)2

Calculation:

For a real number x&y and rational numbers n&m use following exponent properties.

  a)xmxn=xm+nb)(xm)n=xmnc)xn=1xnd)(xy)n=xnyn

Now

  (3xy2)3(23x1y)2=33x3y2×3(2232)(1x2)y2=27x3y6(49)(1x2)y2=27(49)(x3x2)y2+6=12xy8

Hence, the simplified expression is, 12xy8

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