# given expression ( 4 b ) 1 2 ( 8 b 1 4 ) . ### 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 62E

(a)

To determine

## To simplify: given expression (4b)12(8b14) .

Expert Solution

(4b)12(8b14)=32b34

### Explanation of Solution

Given information:

Given expression

(4b)12(8b14)

Calculation:

Consider the given expression.

(4b)12(8b14)

Now, use the first law of exponents, which states

aman=am+n

And combine like terms

(4b)12(8b14)=48b12+14=32b2+14=32b34

Hence,

(4b)12(8b14)=32b34

(b)

To determine

### To evaluate: the given expression (3a34)(5a12) .

Expert Solution

(3a34)(5a12)=15a54 .

### Explanation of Solution

Given information:

Given expression

(3a34)(5a12) .

Calculation:

Consider the given expression.

(3a34)(5a12)

Now, use the first law of exponents, which states

aman=am+n

And combine like terms

(3a34)(5a12)=35a34+12=15a3+24=15a54

Hence,

(3a34)(5a12)=15a54

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