1. Apply Exponent Properties Involving Quotients
February 20, 2014
Pages

2. Simplify the expression. Write your answer using exponents.
**To divide powers having the same base, subtract exponents.
810 84 1.
= 810 – 4
= 86 x6 1 x4 x6 x4 = 2.
(– 3)9
(– 3)3
= x6 – 4
= (– 3)9 – 3
= x2
= (– 3)6
512 57 = 3. 57
= 512 – 7
= 55

3. 5.
611 65
= 611 – 5 y8 1 y5 y8 y5 =
= 66
= y8 – 5 6.
(– 4)9
(– 4)2
= (– 4)9 – 2
= y3
= (– 4)7 7. 92 97 92 =
= 97 – 2
= 95

4. Simplify the expression. Write your answer using exponents.
**To find a power of a quotient, find the power of the numerator and the power of the denominator and divide. 9. x y 3 x3 y3 =
10. 7 x – 2
– 7 x 2 =
(– 7)2 x2 = 49 x2 =

5. 11.
4x2 5y 3
(4x2)3
(5y)3 =
Power of a quotient property =
43 (x2)3
53y3
Power of a product property =
64x6
125y3
Power of a power property
12. a2 b 1
2a2 5
(a2)5 b5 1
2a2 =
Power of a quotient property
a10 b5 = 1
2a2
Power of a power property
a10
2a2b5 =
Multiply fractions. a8
2b5 =
Quotient of powers property

6. 13. a b 2 a2 b2 =
14. 5 y – 3
– 5 y 3 =
(– 5)3 y3 =
125 y3 – =
15. x2 4y 2
( x2)2
(4y)2 =
Power of a quotient property = x4
42y2
Power of a product property = x4
16y2
Power of a power property

7. 23 s3
33 t3 t5 16 =
16. 3t 2s 3 t5 16
Power of a quotient property
8 s3
27 t3 t5 16 =
Power of a power property
8 s3
27 16t3 t5 =
Multiply fractions.
s3 t2 54 =

8. Pages 498-499, #4-44 even *Show work on #38-44
HOMEWORK
Pages , #4-44 even
*Show work on #38-44