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6.6 Power of Power and Product Property

Total questions: 12

Worksheet time: 17mins

Name
Class
Date
1.
Write each product using an exponent. 
4 x 4 x 4 x 4 x 4 
a)
45
b)
54
c)
46
d)
46
2.
Write each product using an exponent. 
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 
a)
77
b)
78
c)
87
d)
79
3.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
4.
(2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
5.
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
6.
1.)  Simplify
 (2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
7.
70 is equivalent to:
a)
7
b)
0
c)
1
d)
1/7
8.
(r4)6
a)
10r
b)
r10
c)
24r
d)
r24
9.
Simplify:
(xy2)4
a)
x4y2
b)
x4y8
c)
x3y2
d)
x5y6
10.
Simplify:
(7y4)2
a)
7y6
b)
14y8
c)
14y6
d)
49y8
11.
Simplify:
(5ab2)2
a)
25a2b4
b)
10a2b4
c)
5a2b4
d)
25ab2
12.
If (2x)5=215, what does x equal?
a)
x = 3
b)
x = 5
c)
x = 10