1. Exponential Functions
Chapter 6
Exponential Functions
6.1
Properties of Exponents
How can you write general rules involving properties of exponents?
Students will understand and be able to use zero and negative exponents.
Students will know and be able to use the properties of exponents.

2. Students will understand and be able to use zero and negative exponents.
Zero Exponent
For any nonzero number a, a0 = 1. The power 00 is undefined.
, where
Negative Exponents
For any integer n and any nonzero number a, a-n is the reciprocal of an.
, where

3. Students will understand and be able to use zero and negative exponents.
Examples
Evaluate each expression.

4. You try!

5. You try!
Because

6. Simplify the expression.

7. You Try!

8. 2. Students will know and be able to use the properties of exponents.
Product of Powers Property
To multiply powers with the same base, add their exponents.
Quotient of Powers Property
To divide powers with the same base, subtract their exponents.
, where
Power of a Powers Property
To find a power of a power, multiply the exponents.

9. 2. Students will know and be able to use the properties of exponents.
Examples
Simplify each expression. Write your answer using only positive exponents.

10. You Try!

11. You Try!

12. 2. Students will know and be able to use the properties of exponents.
Power of a Product Property
To find a power of a product, find the power of each factor and multiply.
Power of a Quotient Property
To find the power of a quotient, find the power of the numerator and the power of the denominator and divide.
, where

13. 2. Students will know and be able to use the properties of exponents.
Simplify each expression. Write your answer using only positive exponents

14. You Try!!!
Simplify each expression. Write your answer using only positive exponents

15. Let’s Review
Students will understand and be able to use zero and negative exponents.
Any number, but zero, raise to the zero power is 1
Negative exponents mean reciprocals.
Students will know and be able to use the properties of exponents.
When you multiply the same base you add the exponents.
When you divide the same base you subtract the exponents.
A power raised to a power, you multiply the exponents.
You can distribute exponents across multiplication and division only.