Warm Up Add or subtract the following polynomials

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

Lesson 10. 2 Rules of Exponents Multiplying and powers SWBAT: Simplify expressions involving exponents.

Review Base Exponent or power base tells you The _______ what number or variable you are going to __________________ multiply exponent or power _____. The_________tells you how many times the base is multiplied by __________________ itself. ______.

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.

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

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

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

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

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:

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

You Try: 1. 5. 2. 6. 3. 4.

Answers

Summary/Reflection How will you remember the first three rules of exponents? Homework: Worksheet 10. 1