1. 13.1
Exponents

2. Exponents
Exponents that are natural numbers are shorthand notation for repeating factors.
34 = 3 • 3 • 3 • 3
3 is the ________
4 is the __________ (also called ________)
Note by the order of operations that exponents are calculated before other operations.

3. The Product Rule Product Rule for Exponents
If m and n are positive integers and a is a real number, then

4. Example Use the product rule to simplify. 32 · 34 z3 · z2 · z5
(3y2)(– 4y4)

5. Zero Exponent Zero Exponent If a does not equal 0, then a0 = ___.
Example:
Simplify each of the following expressions. 50
(xyz3)0
–x0

6. The Quotient Rule Quotient Rule for Exponents
If a is a nonzero real number and m and n are integers, then

7. Example
Use the quotient rule to simplify.

8. Negative Exponents Negative Exponents
If a is a real number other than 0 and n is a positive integer, then

9. Example
Simplify and write with positive exponents only.

10. Example
Simplify and write with positive exponents only.