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FRACTIONAL INDICES

Total questions: 12

Worksheet time: 11mins

Name
Class
Date
1.

How else can you write  x\sqrt{x}  ?

a)

 x12x^{\frac{1}{2}}  

b)

 x2x^2  

c)

 x−2x^{-2}  

d)

 x14x^{\frac{1}{4}}  

2.
64⅓ =
a)
4
b)
8
c)
6
d)
21.3
3.

Evaluate

a)

3

b)

18

c)

9

d)

6

4.

How else could you write  4−24^{-2}  ?

a)

 1616  

b)

 −16-16  

c)

 −116-\frac{1}{16}  

d)

 116\frac{1}{16}  

5.
4-½ =
a)
2
b)
-2
c)
½
d)
-½
6.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
7.

Write the product using exponents:

(-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

a)

-25

b)

2-5

c)

(-2)5

d)

(-2)-5

8.
What comes next?
22 = 2x2
23=2x2x2
24=2x2x2x2
a)
25=2x2x2x2
b)
25=2x2x2x2x2
c)
26=2x2x2x2x2x2
d)
26=2x2x2x2x2
9.
What is 9½
a)
3
b)
4.5
c)
81
d)
18
10.
8⅓ =
a)
2
b)
4
c)
6
d)
2.666
11.
What is 3-1
a)
⅓
b)
½
c)
¼
d)
-3
12.
a)
3
b)
9
c)
12
d)
6