1. Rules of Exponents Multiplying and powers

2. Review Exponent or power Base base
The _______ tells you _____________________________________________. The__________________tells you ________________________________________________.
base
what number or variable you are going to multiply
exponent or power
how many times the base is multiplied by itself.

3. Review When you are adding terms:
only the coefficient (the number in front) changes.
When you are multiplying terms:
the coefficient and the exponent change.

4. Discovering Rule #1 Simplify each expression What do you notice? 32 81
144

5. 1st Rule of Exponents
1st Rule of Exponents: When you multiply powers with the same base, you must ADD the exponents. So the rule is

6. Examples
Ex. 1:
Ex. 2:
Ex. 3:

7. Discovering Rule #2 Write each answer with a single exponent.
What do you notice?

8. 2nd Rule of Exponents
2nd Rule of Exponents: When you have an exponent raised to another exponent, you must multiply the exponents.
Ex. 4:
Ex. 5:
Ex. 6:

9. 3rd Rule of Exponents
3rd Rule of Exponents: When you have a product raised to a power, all parts are raised to the power.
Ex. 7
Ex. 8
Ex. 9

10. You Try: 3. 4.

11. Answers