1. Zero and
Negative Exponents

2. Objectives and Properties
Be able to evaluate powers that have zero exponents.
Be able to evaluate powers that have negative exponents.
Rewrite expressions so that exponents are positive.
Apply the multiplication properties of exponents to problems involving zero exponents and negative exponents.

3. Zero Exponents
By applying the product of powers property to the following example, we find that:
Zero Property of Exponents
A nonzero number to the zero power is 1:
We can then divide both sides of the equation by 37 to determine the value of 30

4. Examples
Evaluate the following expressions.
Solutions

5. Negative Exponents
By applying the product of powers property to the following example, we find that:
We can then divide both sides of the equation by an to determine the value of a-n

6. Examples Evaluate the following expressions.
Rewrite the following expressions using positive exponents.
Solutions

7. You Try It Evaluate the following expressions.
Rewrite the following expressions with positive exponents.

8. Problem 1

9. Problem 2