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Product, Quotient, Power Rule of Exponents

Total questions: 15

Worksheet time: 23mins

Name
Class
Date
1.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
2.
Simplify:
x÷ x2
a)
x7
b)
x3
c)
x10
d)
x2.5
3.
Simplify:
(x3)(x2)
a)
x5
b)
x6
c)
x
d)
x1.5
4.
a)
x12
b)
x-12
c)
x2
d)
x-2
5.
a)
a7
b)
a10
c)
a3
d)
a-3
6.
a)
8
b)
1/8
c)
87
d)
all of the above
7.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
8.
According to exponent rules, when we divide the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
9.
Simplify:
b2 ⋅ b4
a)
b8
b)
b6
c)
b2
d)
2b6
10.
Simplify:
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
11.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
12.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
13.
Make this negative exponent positive.
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
14.
x-3
a)
1/x3
b)
1/x-3
c)
3x
d)
1/3x
15.
45/47
a)
1/8
b)
1/16
c)
42