Zero and

1
Zero and Negative Exponents
2
Objectives and Properties

1. Be able to evaluate powers that have zero
   exponents.
2. Be able to evaluate powers that have negative
   exponents.
3. Rewrite expressions so that exponents are
   positive.
4. 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

1. Evaluate the following expressions.

1. Rewrite the following expressions with positive
   exponents.

8
Problem 1
9
Problem 2