Download presentation

1
**7.1 Exponent Properties Involving Products**

At-Home Lesson 7.1 Exponent Properties Involving Products

2
**Math Standards Technology Standards**

NS Multiply, divide, and simplify rational numbers by using exponent rules. AF 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.

3
Review Exponent 3 X

4
Review 3 X Base

5
**The exponent and the base together are called...Power.**

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

6
**Definition of a negative exponent**

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

7
**Exponent Properties Involving Products**

Section 7.1

8
**. a a a = Review Product of Powers Property m n m + n**

To multiply powers with the same base, add their exponents.

9
**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

10
**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

11
**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

12
**a a ( ) = Review Power of a Power Property m n m n**

To simplify a power of a power, multiply exponents.

13
**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

14
**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 =

15
**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

16
**( 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.

17
**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

18
**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

19
**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

20
**At-Home Quiz* (You may use the previous examples for help)**

*Work needs to be turned in first thing tomorrow

21
Quiz . x x 4z ( ) 7 4 4 a) b) y rs ( ) ( ) 2 -5 9 c) d)

22
**At-Home Quiz is now complete**

If there are any questions, feel free to ask them in the wikispaces discussion forum.

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google