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Laws Of Exponents

Total questions: 20

Worksheet time: 28mins

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.
Simplify (-5.7)0
a)
1
b)
0
c)
-1
d)
-5.7
5.
a)
x12
b)
x-12
c)
x2
d)
x-2
6.
a)
w
b)
w-1= 1/w
c)
-w
d)
w17
7.
a)
a7
b)
a10
c)
a3
d)
a-3
8.
a)
3
b)
0
c)
1
d)
1/3
9.
a)
8
b)
1/8
c)
87
d)
all of the above
10.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
11.
According to exponent rules, when we divide the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
12.
How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?
a)
57
b)
56
c)
75
d)
5
13.
Simplify:
b2 ⋅ b4
a)
b8
b)
b6
c)
b2
d)
2b6
14.
Simplify:
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
15.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
16.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
17.
Multiply
a)
100
b)
101
c)
10-2
d)
1/100
18.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
19.
Make this negative exponent positive.
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
20.
x-3
a)
1/x3
b)
1/x-3
c)
3x
d)
1/3x