# Negative and Zero Exponents Worksheet

Negative and Zero Exponents Worksheet
• Page 1
1.
Check the validity of the equation. (-3)0 = 30
 a. Valid b. Not valid

#### Solution:

(-3)0 = 1
[Definition of zero as an exponent.]

(3)0 = 1
[Definition of zero as an exponent.]

The values of exponential expressions (-3)0 and (3)0 are the same.

The expression (Ã¢â‚¬â€œ3)0 = 30 is valid and true.

2.
Evaluate: $m$0 × $n$0
 a. 3 b. 1 c. 2 d. 4

#### Solution:

m0 = 1
[Definition of zero as an exponent.]

n0 = 1
[Definition of zero as an exponent.]

m0 x n0 = 1 x 1 = 1

The value of expression m0 x n0 is 1.

3.
Evaluate: 6$k$0
 a. 9 b. 6 c. 8 d. 11

#### Solution:

k0 = 1
[Definition of zero as an exponent.]

6 × k0 = 6 × 1 = 6

The value of expression 6k0 is 6.

4.
Evaluate: 1/(9)0
 a. 9 b. -1 c. 1

#### Solution:

1/(90) = 1 / 1 = 1
[Definition of zero as an exponent.]

The value of expression 1/(9)0 is 1.

5.
Evaluate: 1/(5)0
 a. 5 b. 1 c. $\frac{1}{5}$

#### Solution:

1/(5)0 = 1 / 1 = 1
[Definition of zero as an exponent.]

The value of expression 1/(5)0 is 1.

6.
Evaluate the expression 60.
 a. -1 b. 1 c. None of the above

#### Solution:

60 = 1
[A nonzero number to the power zero is 1.]

The value of the expression is 1.

7.
Evaluate the expression ($\frac{2}{5}$)0.
 a. -1 b. 1 c. None of these

#### Solution:

(25)0 = 1
[A nonzero number to the power zero is 1.]

The value of the expression is 1.

8.
Evaluate the expression (0.9)0.
 a. 1 b. 0.9 c. -1

#### Solution:

(0.9)0 = 1
[A nonzero number to the power zero is 1.]

The value of the expression is 1.

9.
Evaluate the expression 4-5 × 47.
 a. 64 b. $\frac{1}{64}$ c. $\frac{1}{16}$ d. 16

#### Solution:

4-5 x 47 = 4-5+7
[Use the product of powers property.]

= 42

= 16
[Evaluate the power.]

The value of the expression is 16.

10.
20 - 3 = _______
 a. $\frac{1}{8000}$ b. $\frac{1}{8003}$ c. $\frac{-1}{8000}$ d. $\frac{-1}{8005}$

#### Solution:

20 - 3 = 1/(20)3
[Use the rules for negative exponents.]

= 18000