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 1.2, Problem 75E

(a)

To determine

To simplify: given expression yy3 .

Expert Solution

Answer to Problem 75E

  yy3=y12

Explanation of Solution

Given information:

Given expression

  yy3

Calculation:

Consider the given expression.

  yy3

Now, use the law of exponents,

  amn=amn and aman=am+n

And combine like terms

  yy3=yy123=y1+123=y323=(y32)13=y32×13=y12

Hence,

  yy3=y12

(b)

To determine

To evaluate: the given expression 16u3vuv5 .

Expert Solution

Answer to Problem 75E

  16u3vuv5=4uv2 .

Explanation of Solution

Given information:

Given expression

  16u3vuv5 .

Calculation:

Consider the given expression.

  16u3vuv5

Now, use the law of exponents,

  amn=amn and aman=amn

And combine like terms

  16u3vuv5=42u3vuv5=42u2v4=(42u2v4)12=(42)12(u2)12(v4)12=4uv2

Hence,

  16u3vuv5=4uv2

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