2. 2.2 Properties of Exponents Objectives: –Evaluate expressions involving exponents. –Simplify expressions involving exponents. Standard: –2.1.11.A. Use operations (e.g. raising to a power).

3. The expression a n is called a power of a. In the expression, a is called the base and n the exponent. I. Definition of Integer Exponents Let a be a real #. If n is a natural #, then a n = a * a * a.. * a, n times. If a is nonzero, then a 0 = 1. If n is a natural #, then

4. Properties of Exponents

5. Examples: * *

8. Rational Exponents Definition of Rational Exponents

9. 2 81 5 4 4 216

11. Writing Activities: 1). Describe how to use Properties of Exponents to simplify 30 7 3 6. 2). Explain why and -5 are not equivalent.

13. Homework Integrated Algebra II: Section 2.2 Level A Honors Algebra II: Section 2.2 Level B

14. PSSA WARM-UP QUESTION Algebra II - Chp. 2 Standard 2.1.11 A Find Powers. What are some of the properties of exponents? Properties of Exponents Rule Example Multiplication of Exponents Power to a Power Division of Exponents Raised to Zero Negative Exponent

15. Example 1 The equation for centripetal acceleration is given as: 1b. Find the centripetal acceleration in ft. per second squared of a rider who makes one rotation in 5 seconds and whose radius is 6 feet. r = 6, T = 5 A c = 9.47 feet per second squared