# given expression 4 9 .

### 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 21E

(a)

To determine

## To evaluate: given expression 49 .

Expert Solution

49=23

### Explanation of Solution

Given information:

Given expression

49

Calculation:

Consider the given expression.

49

For any rational exponent 1n in lowest terms, where n is an integer and n>0 , we define

a1/n=an

If n is even, then we require that a0

49=2232 [Writethesquaresofnumbers]=(23)212 [byusinga1n=an]=23 [simplify]

Therefore, the answer is 23 .

(b)

To determine

Expert Solution

2564=4

### Explanation of Solution

Given information:

Given expression

2564 .

Calculation:

Consider the given expression.

2564=444 [write256as44]=4414 [byusinga1n=an]=4

(c)

To determine

Expert Solution

1646=12

### Explanation of Solution

Given information:

Given expression

1646

Calculation:

Consider the given expression.

1646=1266 [Write64as26]=(126)16 [byusinga1n=an]=11/62616 [byusinglaw(ab)n=anbn]=12 [simplify]

Therefore, the answer is 12 .

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