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Worksheets

Rational Exponents

Total questions: 25

Worksheet time: 6hrs 15mins

Name
Class
Date
1.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
2.
What is the value of (-2)3?
a)
-8
b)
-6
c)
6
d)
8
3.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
4.
Write the following expression in radical form:
a)
a.)
b)
b.)
c)
c.)
d)
d.)
5.
Write the following expression in exponential form:
a)
a.)
b)
b.)
c)
c.)
d)
d.)
6.
Write the following expression in exponential form:
a)
a.)
b)
b.)
c)
c.)
d)
d.)
7.
What is 71  ?
a)
1
b)
7
c)
0
d)
14
8.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
9.
Simplify the following expression:
a)
5
b)
25
c)
125
d)
625
10.
Simplify:
a)
2
b)
8
c)
16
d)
32
11.
Simplify:
a)
2
b)
4
c)
8
d)
16
12.
Simplify the following expression:
a)
2
b)
4
c)
16
d)
64
13.
Simplify the following expression:
a)
16
b)
32
c)
40
d)
64
14.
a)
72
b)
71/2
c)
7-2
d)
7-1/2
15.
a)
44/3
b)
43/4
c)
24/3
d)
23/4
16.
a)
23/5
b)
-23/5
c)
25/3
d)
85
17.
a)
216
b)
61/2
c)
62
d)
63/2
18.
a)
21/6
b)
64
c)
61/2
d)
26
19.
a)
(5x)-2/1
b)
(5x)2/1
c)
(5x)-1/2
d)
(5x)1/2
20.
a)
m- 2
b)
m- 0.5
c)
m1/2
d)
m0.5
21.
Write the expression in radical form.
y1/2
a)
√y
b)
∛y
c)
√y2
d)
∛y2
22.
Simplify the expression:
361/2
a)
6
b)
36
c)
-6
d)
1296
23.
Simplify the expression:
271/3
a)
3
b)
9
c)
27
d)
33
24.

Simplify (evaluate):

3-3

a)

-27

b)

-9

c)

-1/9

d)

1/27

25.
a)

A

b)

B

c)

C

d)

D