1. Zero and Negative Exponents
8.2
Goal
Evaluate powers that have zero or negative exponents.
Key Words
zero exponent
negative exponent
reciprocal

2. Observe the chart. Establish a pattern.
Can you predict the last three values? 1
1/2
1/4

3. Powers with Zero Exponents
EXAMPLE 1
Powers with Zero Exponents
Evaluate the expression. 1 1 1 1

4. Powers with Negative Exponents
EXAMPLE 2
Powers with Negative Exponents
Evaluate the expression. 81
1/4

5. 1 25 Evaluate the expression.
Checkpoint Evaluate Exponential Expression
Evaluate the expression. 1 25

6. Evaluate Exponential Expressions
EXAMPLE 3
Evaluate Exponential Expressions
Evaluate the expression. 1 64

7. Checkpoint Evaluate Exponential Expression
Evaluate the expression. 27

8. = yx Evaluate Expressions with a Calculator
EXAMPLE 4
Evaluate Expressions with a Calculator
Use a calculator to evaluate the expression. yx
+ / – =

9. Simplify Exponential Expressions
EXAMPLE 5
Simplify Exponential Expressions
Rewrite the expression with positive exponents.

10. 3x2 Evaluate the expression.
Checkpoint Evaluate Exponential Expression
Evaluate the expression.
3x2

11. Homework