7.1 Exponent Properties Involving Products At-Home Lesson 7.1 Exponent Properties Involving Products

Math Standards Technology Standards NS 2.3 - Multiply, divide, and simplify rational numbers by using exponent rules. AF 2.1 - Simplify and evaluate expressions that include exponents. Technology Standards 5a - Advocate and practice safe, legal, and responsible use of information and technology. 6b - Select and Use applications effectively and productively.

Review Exponent 3 X

Review 3 X Base

The exponent and the base together are called...Power. Review 3 X The exponent and the base together are called...Power.

Definition of a negative exponent Review Definition of a negative exponent 1 a -n = a n

Exponent Properties Involving Products Section 7.1

. a a a = Review Product of Powers Property m n m + n To multiply powers with the same base, add their exponents.

Product of Powers Property Using the... Product of Powers Property Example A . 8 9 8 + 9 7 7 = 7 Product of powers property 7 17 = Add Exponents

Product of Powers Property Using the... Product of Powers Property Example B . x x x 7 4 7 + 4 = Product of powers property x 17 = Add Exponents

Product of Powers Property Using the... Product of Powers Property Example C . y y y -2 -5 -2 + (-5) = Product of powers property y -7 = Add Exponents Definition of negative exponent = 1 y 7

a a ( ) = Review Power of a Power Property m n m n To simplify a power of a power, multiply exponents.

Power of a Power Property Using the... Power of a Power Property Example A 6 ( ) . 4 4 4 4 = Power of a power property 6 16 = Multiply Exponents 6

Power of a Power Property Using the... Power of a Power Property Example B [ ] -0.3 -0.3 ( ) ( ) . 5 2 5 2 = Power of a power property -0.3 ( ) 10 Multiply Exponents =

Power of a Power Property Using the... Power of a Power Property Example C m ( ) . -3 4 -3 4 = Power of a power property m = Multiply Exponents -12 m = 1 Definition of negative exponents m 12

( ab ) a b = Review Power of a Product Property m m m To simplify a power of a product, find the power of each factor and multiply.

Power of a Product Property Using the... Power of a Product Property Example A 3x ( ) 4 4 4 = Power of a product property 3 x = 4 Evaluate power 81x

Power of a Product Property Using the... Power of a Product Property Example B -4d -4 d -3 -3 -3 ( ) ( ) = . Power of a product property 1 1 Definition of negative exponent = -4 d . ( ) 3 3 Continued

Power of a Product Property Using the... Power of a Product Property Example B continued 1 1 = -64 d Evaluate Power . ( ) 3 3 1 Simplify = - 64 d 3

At-Home Quiz* (You may use the previous examples for help) *Work needs to be turned in first thing tomorrow

Quiz . x x 4z ( ) 7 4 4 a) b) y rs ( ) ( ) 2 -5 9 c) d)

At-Home Quiz is now complete If there are any questions, feel free to ask them in the wikispaces discussion forum.