given expression ( 5 3 ) 0 2 − 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 17E

(a)

To determine

To evaluate: given expression (53)02−1 .

Expert Solution

(53)021=12

Explanation of Solution

Given information:

Given expression

(53)021

Calculation:

Consider the given expression.

(53)021

Use the law of the exponents to simplify the expression.

(53)021=121

Use zero-exponent rule a0=1

=21

Use negative exponent rule an=1an

=12

(b)

To determine

Expert Solution

2330=18

Explanation of Solution

Given information:

Given expression

2330 .

Calculation:

Consider the given expression.

2330

Use the law of the exponents to simplify the expression.

2330=231

Use zero-exponent rule a0=1

23

Use negative exponent rule an=1an .

123=18

(c)

To determine

Expert Solution

(14)2=16

Explanation of Solution

Given information:

Given expression

(14)2

Calculation:

Consider the given expression.

332

Use the law of the exponents to simplify the expression.

Use negative exponent rule an=1an

(14)2=1(14)2

Reciprocal of reciprocal of number is itself

1(14)2=42=16

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