1. Goals
1. I can use the division properties of exponents to evaluate powers and simplify expressions.
I can use the division properties of exponents to find a

2. Bell Work:
Simplify:
2. (3w2)2
3. (4vw3)2
4. (-2r2s3)5

3. Power of a Quotient Property
To find a power of a quotient, find the power of the numerator and the power of the denominator and divide (p. 464).

4. Quotient of Powers Property
To divide power having the same base, subtract exponents.

5. Quotient of a Powers Property
When dividing powers having the same base, subtract the exponents. 1. 2.
= b5-2
= b3
= m7-1n5-2
= m6 n3

6. Work:
P Numbers 20-30; Even only

7. Answers:
22. 1
24. 1
26. 9/16
28. -8/27
30. 2/3

8. = xy
= 9a3b2

9. Simplify
48g2h2
48gh2
4g2h2
4gh2

10. = 1m0n = n Here’s a tricky one! They canceled out!
What happened to the m?
They canceled out!
There are no m’s left over!
This leads us to our next rule…

11. Zero Exponents Anything to the 0 power is equal to 1. a0 = 1
True or False? Anything divided by itself equals one.
True!
See for yourself!

12. Negative Exponents
A negative exponent means you move the base to the other side of the fraction and make the exponent positive.
Notice that the base with the negative exponent moved and became positive!

13. Simplify.
x-4 y0 You can not have negative or zero exponents in your answer.

14. Simplify p2
p12 .

15. Simplify.
You can’t leave the negative exponent!
There is another way of doing this without negative exponents.
If you don’t want to see it, skip the next slide!!!

16. Simplify (alternate version).
Look and see (visualize) where you have the larger exponent and leave the variable in that location. Subtract the smaller exponent from the larger one.
In this problem, r is larger in the numerator and s is larger in the denominator.
Notice that you did not have to work with negative exponents! This method is quicker!

17. Simplify.
Get rid of the negative exponent.

18. Simplify.
Get rid of the negative exponents.

19. Get rid of the negative exponents.
Simplify.
Get rid of the parentheses.
Get rid of the negative exponents.

20. Simplify .

21. Work:
Page 466; Numbers 32 to 42; Even Only
AND…… 43, 46, and 52

22. And now, the quiz……….