WorksheetsExponent Power Rule and Product Rule
Total questions: 15
Worksheet time: 43mins
Name
Class
Date
1.
Multiplication Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
2.
Power to a Power Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
3.
Solve
a)
c30
b)
c1
c)
c11
4.
Solve
a)
h19
b)
h90
c)
h-1
d)
1/h1
5.
Solve (hint: there's more than 1 law you must obey)
a)
a14b16
b)
(a7b)(ab8)
c)
a12b4a2b12
6.
Simplify the expression:
52⋅51=
52⋅51=
a)
53
b)
53+1
c)
52
7.
Simplify the expression:
(-2) ⋅ (-2)2 ⋅ (-2)3
a)
-25
b)
26
c)
(-2)7
d)
-26
8.
Simplify the expression.
x4 (x12)
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
9.
Simplify the expression.
(6x2)(-3x5)
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
10.
Simplify (2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
11.
(x3)(x5)(x10)
a)
x2
b)
18x
c)
x18
d)
x150
12.
3x2(-5x4)
a)
15x2
b)
-15x2
c)
15x6
d)
-15x6
13.
Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
14.
Simplify: (-3x4)(5x2)
a)
-15x8
b)
-15x6
c)
2x8
d)
2x6
15.
(4x5y2)(6x2y3)
a)
10x10y6
b)
24x7y5
c)
24x10y6
d)
10x7y5
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