PROPERTIES OF EXPONENTS BY G LAWS 8 TH

PROPERTIES OF EXPONENTS BY G. LAWS 8 TH MATH/JCMS

NC STANDARD • 8. EE. 1 – Develop and apply the properties of integer exponents to generate equivalent numerical expressions.

ESSENTIAL QUESTION • How can I successfully use all the properties of exponents to help generate equivalent numerical expressions?

WHAT IS AN EXPONENTIAL EXPRESSION? 1. An exponential expression is a mathematical expression that contains a constant (base) that has been raised to some power (exponent). Example: exponent Base Numeric Base exponent Base Algebraic Base

PROPERTIES OF EXPONENTS 2. Properties of Exponents are rules that help you evaluate expressions with exponents, and help you generate equivalent expressions.

PROPERTIES OF EXPONENTS 3. There at least five properties of exponents you will be required to learn. a) Multiplication Property of Exponents b) Division Property of Exponents. c) Zero Property of Exponents

PROPERTIES OF EXPONENTS • There at least five properties of exponents you will be required to learn. d) Negative Property of Exponents e) Power to Power of Exponents

1. MULTIPLICATION PROPERTY OF EXPONENT 4. The multiplication property of exponents – states that when you multiply bases with exponents, you add the exponents. Example:

2. DIVISION PROPERTY OF EXPONENTS 5. The division property of exponents – states that when you divide bases with exponents, you subtract the exponents. Example:

3. ZERO PROPERTY OF EXPONENTS 6. The zero property of exponents – states that any base with a zero exponent, will always equal to 1. Example:

Your Turn • Simplify the following a. d. b. e. c.

Properties of Exponents Part II

4. NEGATIVE PROPERTY OF EXPONENTS 7. Negative Property of Exponents – states any base with a negative exponent will always equal to its positive reciprocal exponential /numeric value.

5. POWER TO POWER PROPERTY OF EXPONENTS 8. Power to Power of Exponents – states any base with an exponent can be multiplied by an exponent.

Your Turn a. b. c. d. e. f. (52)3 = (103)5 =

SUMMARY • What have you learned about this lesson? • What are some important steps to remember about Properties of Exponents? • Make sure you review your notes, additional questions or notes, and write a summary or reflection.