# given expression 5 4 ⋅ 5 − 2 .

### 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 16E

(a)

To determine

## To evaluate: given expression 54⋅5−2 .

Expert Solution

5452=25

### Explanation of Solution

Given information:

Given expression

5452

Calculation:

Consider the expression.

5452

First Law of Exponents, which states

aman=am+n5452=54+(2)5452=52=555452=25

(b)

To determine

Expert Solution

107104=1000

### Explanation of Solution

Given information:

Given expression

107104 .

Calculation:

Consider the expression.

107104

Use the second Law of Exponents, which states

aman=amn107104=1074107104=103=101010107104=1000

(c)

To determine

Expert Solution

332=27

### Explanation of Solution

Given information:

Given expression

332

Calculation:

Consider the expression.

332

Use the second Law of Exponents, which states

aman=amn332=31323132=31(2)3132=32=3333132=27

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