# given expression y 10 y 0 y 7 .

### 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 37E

(a)

To determine

## To simplify: given expression y10y0y7 .

Expert Solution

y10y0y7=y3 .

### Explanation of Solution

Given information:

Given expression

y10y0y7

Calculation:

Consider the given expression.

y10y0y7

To simplify this, we will first use the rule of zero exponents, which states

a0=1y0=1y10y0y7=y10y7

Now, use the second law of exponents, which staes

aman=amny10y7=y107y10y7=y3y10y0y7=y3

(b)

To determine

Expert Solution

x6x10=1x4

### Explanation of Solution

Given information:

Given expression

x6x10 .

Calculation:

Consider the given expression.

x6x10

To simplify this, we will use the second law of exponents, which states

aman=amnx6x10=x610x6x10=x4

Use the rule of negative exponents, which states

an=1anx4=1x4x6x10=1x4

(c)

To determine

Expert Solution

a9a2a=a6

### Explanation of Solution

Given information:

Given expression

a9a2a

Calculation:

Consider the given expression.

z5z3z4

To simplify this, we will use the first law of exponents, which states

aman=am+na9a2a=a9+(2)aa9a2a=a7a

To simplify this, use the second law of exponents, which states

aman=amna7a=a71a7a=a6a9a2a=a6

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