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 26RE
To determine

Simplify the expression.

Expert Solution

Answer to Problem 26RE

  x8

Explanation of Solution

Given information:

Simplify the expression.

  (x2y3x2y)1/2(x3yy1/2)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 consider,

  (x2y3x2y)1/2(x3yy1/2)2=(x22y31)1/2(x3y11/2)2=(x4y2)1/2(x3y1/2)2=(x4×(1/2)y2×(1/2))(x3×2y1/2×2)=(x2y1)(x6y)=x2+6y1+1=x8

Hence, the simplified expression is, x8

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