ZERO AND NEGATIVE EXPONENTS WORKSHEET

Simplify : 

1)  5^-3

2)  8⁰

3)  (-2)^-4

4)  -3^-4

5)  Evaluate y^-1 for y = 2. 

6)  Evaluate a⁰b^-3 for a = 8 and b = -2. 

Simplify :

7)  5a^-2

8)  -5/p^-4

9)  x^-2/a⁰y³

10)  3p⁰n^-5

Detailed Answer Key

Answer (1) :

=  5^-3

=  1 / 5³

=  1 / (5 ⋅ 5 ⋅ 5)

=  1/125

Answer (2) :

=  8⁰

Any non zero number raised to the zero power is 1. 

=  1

Answer (3) :

=  (-2)^-4

=  1 / (-2)⁴

=  1 / [(-2)(-2)(-2)(-2)]

=  1/16

Answer (4) :

=  -3^-4

=  -1 / 3⁴

=  -1 / (3 ⋅ 3 ⋅ 3 ⋅ 3)

=  -1/81

Answer (5) :

=  y^-1

Substitute 2 for y. 

=  2^-1

=  1/2

Answer (6) :

=  a⁰b^-3

Substitute 8 for a and -2 for b. 

=  8⁰ ⋅ (-2)^-3

=  1 ⋅ 1/(-2)³

=  1 ⋅ 1 / [(-2)(-2)(-2)]

=  1 ⋅ 1 / (-8)

=  1 ⋅ (-1/8)

=  -1/8

Answer (7) :

=  5a^-2

=  5 ⋅ 1/a²

=  5/a²

Answer (8) :

=  -5/p^-4

=  -5 ⋅ 1/p^-4

=  -5 ⋅ p⁴

=  -5p⁴

Answer (9) :

=  x^-2/a⁰y³

=  1 / (x² ⋅ 1 ⋅ y³)

=  1/x²y³

Answer (10) :

=  3p⁰n^-5

=  3 ⋅ 1 ⋅ 1/n⁵

=  3/n⁵

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.