use definition of zero and negative exponents

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Use definition of zero and negative exponen EXAMPLE 1 a. 3 – 2 Definition of negative exponents 1 9 = Evaluate exponent. b. (–7) 0 Definition of zero exponent 1 3 2 = = 1

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Use definition of zero and negative exponents EXAMPLE 1 Use definition of zero and negative exponents 5 –2 1 c. = 1 5 2 Definition of negative exponents 1 25 = Evaluate exponent. = 25 Simplify by multiplying numerator and denominator by 25. 1 0 5 (Undefined) = d. 0 – 5 a – n is defined only for a nonzero number a.

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Page 1: Use definition of zero and negative exponents

Use definition of zero and negative exponents

EXAMPLE 1

a. 3– 2 Definition of negative exponents

1 9

= Evaluate exponent.

b. (–7)0 Definition of zero exponent

132

=

= 1

Page 2: Use definition of zero and negative exponents

Use definition of zero and negative exponents

EXAMPLE 1

= 25 Simplify by multiplying numerator and denominator by 25.

d. 0 – 5 a – n is defined only for a nonzero number a.

10 5 (Undefined)=

=15

1 25

–21c. Definition of negative exponents

125

1=

Evaluate exponent.

Page 3: Use definition of zero and negative exponents

GUIDED PRACTICE for Example 1

Evaluate the expression.

023

1. = 1

1 64

=2. (–8) – 2

12

3.–3

= 8

4. (–1 )0 = 1