1. 5.1 Properties of Exponents
Exponents mean repeated multiplication
Exponent
23 = 222
Power
Base

2. Product of Powers Property
ex)
ex)

3. The Power of a Power Property
ex)
ex)
ex)

4. Power of a Product
ex)
ex)

5. Negative Exponents in Numerators and Denominators
Write each expression with positive exponents only.
Negative Exponents in Numerators and Denominators
and
ex)
ex)

6. The Zero-Exponent Property
Use the Zero-Exponent Rule
The Zero-Exponent Property
ex)
ex)

7. The Quotient of Powers Property
Divide by using the Quotient Rule
The Quotient of Powers Property
ex)

8. The Power of Quotient Property
Simplify by using the Quotient of Powers Rule
The Power of Quotient Property
ex)

9. Exercise 1
Practice simplifying expressions.
x2x5
(-8)(-8)3
a3a7

10. Exercise 2
Use the division property of exponents to rewrite each expression with a single exponent.

11. Exercise 3
Simplify the expression.
12-4
w5w-8w6
16-3

12. Simplify.
ex)
ex)
ex)