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Indices

Total questions: 13

Worksheet time: 30mins

Name
Class
Date
1.
Write 2 x 2 x 2 x 2 in index form
a)
23
b)
25
c)
16
d)
24
2.

Simplify: χ3 ÷ χ2

a)

χ

b)

χ5

c)

χ6

d)

χ-1

e)

1/χ

3.
Write (47 x 43∕  44 as a single power
a)
414
b)
41
c)
48
d)
46
4.
Evaluate 64
a)
216
b)
24
c)
1296
d)
6 x 6 x 6 x 6 
5.
Evaluate 2+ 32
a)
72
b)
36
c)
12
d)
17
6.
Simplify the following expression: 
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
7.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
8.
Simplify: 4x2y × 9xy2
a)
36x3y3
b)
36xy3
c)
13x2y2
d)
13x3y3
9.
Find a-80 ÷ a8
a)
a-88
b)
a10
c)
a88
d)
a-72
10.
a7×a4÷a5
a)
a7
b)
a6
c)
a4
d)
a11
11.
Write (47 x 43∕  44 as a single power
a)
414
b)
41
c)
48
d)
46
12.
(3x2y3)2
a)
9x4y6
b)
3x4y5
c)
6x4y6
d)
9xy
13.

 (6a8b)(10a3b4)\left(6a^8b\right)\left(10a^3b^4\right)  

a)

 60a5b360a^5b^{-3}  

b)

 60a24b460a^{24}b^4  

c)

 16a11b516a^{11}b^5  

d)

 60a11b560a^{11}b^5