This document discusses how to evaluate powers of products and quotients. It states that to evaluate a product to a power, the power is distributed to each factor. To evaluate a quotient to a power, the power is distributed to both the numerator and denominator. Several examples are provided of simplifying expressions involving products and quotients raised to powers. The document concludes with a list of additional practice problems for students.

1. 5.9 powers of products and quotients December 05, 2011
Objective: find powers of products and quotients
Warm Up
(22)3
(b2)5
HW pg. 276 #5­60 mult of 5 1

2. 5.9 powers of products and quotients December 05, 2011
Product to a Power ­ distribute the power to each part.
m
(5 3)4 = 54 3
4
(ab)m = amb
Quotient to a Power ­ distribute the power to both the numerator and
denominator.
4 m m
()
4
a = a
() 2 = 2
3 34 b bm
HW pg. 276 #5­60 mult of 5 2

3. 5.9 powers of products and quotients December 05, 2011
Simplify.
(4x2)3 (xy2)5
(­5x)2 ­(5x)2
HW pg. 276 #5­60 mult of 5 3

4. 5.9 powers of products and quotients December 05, 2011
Find the area of the square tile.
A = s2
3
b
3
b
HW pg. 276 #5­60 mult of 5 4

5. 5.9 powers of products and quotients December 05, 2011
() 2
3
4
HW pg. 276 #5­60 mult of 5 5

6. 5.9 powers of products and quotients December 05, 2011
Page 276 34 ­xy 5 ­m 6
White Boards
(3(2))2 (­10x )
( )
2xy4
( )
b3
(3j)3 ­(xy)
2
2c 4 1 4
(rs3)4
( )
d2
( )
3x2
2 2 (­5b)
3
() 5 (7t2)3 x3 5 3t2 2
( )
32
(­5c )
( )
2y4
5
(4a5)2 2
­(x
2y2)2 3x2 4
( ) ( )
­2x
7y
(2c2)5 10
2
(c3)2
4 3
(­3a b) ­3 2
( ) ( )
4
7y
7
HW pg. 276 #5­60 mult of 5 6

7. 5.9 powers of products and quotients December 05, 2011
HW pg. 276 #5­60 mult. of 5
HW pg. 276 #5­60 mult of 5 7