# given expression y y 3 .

### Precalculus: Mathematics for Calcu...

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

### 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

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

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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