1. Warm Up 1. 3x 2 + 2x + 3 2. –x 4 + 3x 3 – 3x + 4 3. 8 4. 16 5. -16 Add or subtract the following polynomials Solve.

2. Lesson 10.2 Rules of Exponents Multiplying and powers SWBAT: Simplify expressions involving exponents.

3. Review Base Exponent or power 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.

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

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

6. 1 st Rule of Exponents 1 st Rule of Exponents: When you multiply powers with the same base, you must ADD the exponents. So the rule is

7. Examples Ex. 1: Ex. 2: Ex. 3:

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

9. 2 nd Rule of Exponents 2 nd Rule of Exponents: When you have an exponent raised to another exponent, you must multiply the exponents. Ex. 4: Ex. 5: Ex. 6:

10. 3 rd Rule of Exponents 3 rd 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

11. You Try: 1.5. 2.6. 3.4.

12. Answers

13. Summary/Reflection How will you remember the first three rules of exponents? Homework: Worksheet 10.1