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WorksheetsProperties of Exponents and Square and Cube Roots
Total questions: 34
Worksheet time: 1hrs 23mins
Name
Class
Date
1.
x2 * x2 * x2 * x2
a)
2 * 2 * 2 * 2
b)
x16
c)
x8
d)
2(x * x * x * x)
2.
(x6)3
a)
x9
b)
x2
c)
x6
d)
x18
3.
Simplify.
x4 * x8
x4 * x8
a)
x2
b)
x4
c)
x12
d)
x32
4.
x5 * x4
a)
x9
b)
x20
c)
2x9
d)
9x
5.
4-8
a)
18/4
b)
48/1
c)
4/18
d)
1/48
6.
70
a)
71
b)
01
c)
1
d)
7
7.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
8.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
9.
a)
2 / x2
b)
-2x2
c)
2x2
d)
2x14
10.
Make this negative exponent positive.
9-3
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
11.
According to exponent rules, when we multiply like bases we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
12.
According to exponent rules, when we divide and bases are the same we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
13.
Fill in the blank with the correct exponent to make the statement true.
316 = (38)(3_)
316 = (38)(3_)
a)
2
b)
8
c)
4
d)
1
14.
Zero Exponent Law states that _____ becomes a 1.
a)
the exponent
b)
the base
c)
nothing
d)
the whole term
15.
4-8
a)
18/4
b)
48/1
c)
4/18
d)
1/48
16.
a)
x2.75
b)
x44
c)
x15
d)
x7
17.
Simplify 3-3
a)
-27
b)
-9
c)
-1/9
d)
1/27
18.
Which is greater, 26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
19.
a)
a8b13
b)
a2b7
c)
a15b30
20.
(34)(37)
a)
328
b)
33
c)
3-3
d)
311
21.
(x8)(x-5)
a)
x-40
b)
x-13
c)
x13
d)
x3
22.
(t-6)-5
a)
t-11
b)
t-30
c)
t30
d)
t11
23.
√16
a)
4
b)
8
c)
2
d)
9
e)
-4
24.
√64
a)
3
b)
8
c)
7
d)
6
e)
-8
25.
√121
a)
12
b)
10
c)
11
d)
3
e)
-11
26.
√225
a)
13
b)
16
c)
18
d)
15
e)
-15
27.
√100
a)
15
b)
10
c)
11
d)
12
e)
-10
28.
Find the cube root.
a)
-5
b)
5
c)
4
d)
-4
29.
63 = ?
a)
196
b)
206
c)
216
d)
226
30.
Solve for p when p2 = 100.
a)
1,000
b)
10
c)
0.10
d)
-0.10
31.
Solve for x when x2 = 144
a)
4
b)
11
c)
12
d)
14
32.
Solve for x when x3 = 125
a)
5
b)
10
c)
12
d)
15
33.
A cube with side length s has a volume of 64 cubic units. What is the length of the side of the cube?
a)
32 units
b)
16 units
c)
8 units
d)
4 units
34.
The area of a square is 400 m2. What is the length of the side of the square?
a)
20 m
b)
200 m
c)
20 m2
d)
200 m2
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