# given expression w 4 3 w 2 3 w 1 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 63E

(a)

To determine

## To simplify: given expression w43w23w13 .

Expert Solution

w43w23w13=w53

### Explanation of Solution

Given information:

Given expression

w43w23w13

Calculation:

Consider the given expression.

w43w23w13

Now, use the first law of exponents, which states

aman=am+n

And combine like terms

w43w23w13=w43+23w13=w4+23w13=w63w13

Now, use the second law of exponents, which states

aman=amn

And combine like terms

w43w23w13=w63w13=w6313=w53

Hence,

w43w23w13=w53

(b)

To determine

### To simplify: given expression s52(2s54)2s12 .

Expert Solution

s52(2s54)2s12=4s92

### Explanation of Solution

Given information:

Given expression

s52(2s54)2s12

Calculation:

Consider the given expression.

s52(2s54)2s12

Now, use the first law of exponents, which states

aman=am+n

And combine like terms

s52(2s54)2s12=s524s52s12=4s52+52s12=4s5+52s12=4s102s12

Now, use the second law of exponents, which states

aman=amn

And combine like terms

s52(2s54)2s12=4s102s12=4s10212=4s92

Hence,

s52(2s54)2s12=4s92

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