WorksheetsRadicals, Rational Exponents and Classify Numbers Review
Total questions: 24
Worksheet time: 35mins
Name
Class
Date
1.
.
a)
A
b)
B
c)
C
d)
D
2.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
3.
Which expression with a fractional exponent best represents √7 ?
a)
7 ½
b)
7¼
c)
7⅓
d)
27
4.
Simplify:
a)
√4√12
b)
4√12
c)
4√3
d)
2√3
5.
Rewrite in radical form.
a)
A
b)
B
c)
C
d)
D
6.
The number under the radical sign or square root sign is called the ______.
a)
radical sign
b)
radicand
c)
factor
d)
exponent
7.
x-3
a)
-3x
b)
x3
c)
1/ x-3
d)
1/ x3
8.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
9.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
10.
What is the 71 ?
a)
1
b)
7
c)
0
d)
14
11.
Write each expression in exponential form.
a)
A
b)
B
c)
C
d)
D
12.
Write each expression in exponential form.
a)
A
b)
B
c)
C
d)
D
13.
Rewrite in Exponential Form.
a)
A
b)
B
c)
C
d)
D
14.
Rewrite in Exponential Form.
a)
A
b)
B
c)
C
d)
D
15.
Rewrite in radical form.
a)
A
b)
B
c)
C
d)
D
16.
Rewrite in Radical Form.
a)
A
b)
B
c)
C
d)
D
17.
Simplify the following expression:
a)
5
b)
25
c)
125
d)
625
18.
Simplify the following expression:
a)
16
b)
32
c)
40
d)
64
19.
What is 80 ?
a)
1
b)
8
c)
0
d)
Psh..... I don't know. I'm not a math teacher.
20.
Write in exponential form
∛x⁷
∛x⁷
a)
x⁷/³
b)
x3⁄7
c)
3x⁷
d)
7x³
21.
Re-write the expression in radical form.
x2/3
x2/3
a)
∛x2
b)
√x3
c)
(1/x)
d)
∛x
22.
Simplify the expression completely and write it in radical form if necessary.
x3/4⋅x1/2
x3/4⋅x1/2
a)
x
b)
∜x5
c)
√x
d)
∜x2
23.
Re-write the expression in the most simplified exponential form.
(∜y)10
(∜y)10
a)
y10/4
b)
y2/5
c)
y14
d)
y5/2
24.
Simplify the expression completely and write in radical form if necessary.
(x2/3)6
(x2/3)6
a)
∛x2
b)
∛x20
c)
x4
d)
√x3
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