# To rationalize: the denominator of expression 1 a 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 92E

(a)

To determine

Expert Solution

## Answer to Problem 92E

1a4=a34a

### Explanation of Solution

Given information:

Given expression

1a4

Calculation:

Consider the given expression.

1a4

Now, multiply the numerator and denominator by a34 .

1a4=1a4×a34a34=a34a3+14 [aman=am+n]=a34a44=a34|a| [anm=anm]

Hence,

1a4=a34a

(b)

To determine

Expert Solution

## Answer to Problem 92E

ab23=ab3b

### Explanation of Solution

Given information:

Given expression

ab23

Calculation:

Consider the given expression.

ab23

Now, multiply the numerator and denominator by b3 .

ab23=ab23×b3b3=ab3b2+13 [aman=am+n]=ab3b33=ab3b [anm=anm]

Hence,

ab23=ab3b

(c)

To determine

Expert Solution

## Answer to Problem 92E

1c37=c47c

### Explanation of Solution

Given information:

Given expression

1c37

Calculation:

Consider the given expression.

1c37

Now, multiply the numerator and denominator by c47 .

1c37=1c37×c47c47=c47c37+47=c47c77=c47c

Hence,

1c37=c47c

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!