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.