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 23RE
To determine

Simplify the expression.

Expert Solution

Answer to Problem 23RE

  x2y2

Explanation of Solution

Given information:

Simplify the expression.

  (x3y)2y43

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 consider,

  (x3y)2y43=((x3y)2y4)1/3=((x3)2)1/3(y2)1/3(y4)1/3=x3×2/3y2/3y4/3=x2y2/3+4/3=x2y2

Hence, the simplified expression is, x2y2

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