# given expression 1024 − 0.1 . ### 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 24E

(a)

To determine

## To evaluate: given expression 1024−0.1 .

Expert Solution

10240.1=12

### Explanation of Solution

Given information:

Given expression

10240.1

Calculation:

Consider the given expression.

10240.1

Evaluate the above expression as follows:

10240.1=(210)0.1 use1024=210=(2)10(0.1) Use(am)n=amn=(2)1=12 Usean=1an

(b)

To determine

Expert Solution

(278)23=94

### Explanation of Solution

Given information:

Given expression

(278)23 .

Calculation:

Consider the given expression.

(278)23

Evaluate the above expression as follows:

(278)23=(3323)23 Use23=8,33=27=((32)3)23 Useambm=(ab)m=(32)2=94

(c)

To determine

### To evaluate: given expression (2564)32 .

Expert Solution

(2564)32=125512 .

### Explanation of Solution

Given information:

Given expression

(2564)32

Calculation:

Consider the given expression.

(2564)32

Evaluate the above expression as follows:

(2564)32=((58)2)32Useambm=(ab)m=(58)3=5383=125512

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