Indices Rules - Advanced
Name :
Class :
Date :
Mark :
1) Evaluate, giving your answer as a simplified fraction
/24
%
[3]
a) 7−1
b) 6−2
c) 10−3
1
2) Give your answer in the form ab , where a and b are positive integers
[1]
2−2
3) Give your answer in the form ab , where a and b are integers
[1]
1
73
a
[1]
a
[1]
4) Give your answer in the form bc , where a,b and c are positive integers
4 × 6−4
5) Give your answer in the form bc , where a,b and c are integers
−1 × 5−3
6) Evaluate
[4]
1
a) 1212
1
b) 83
2
c) 2163
3
d) 252
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7) Evaluate, giving your answer as an integer or simplified fraction
[3]
3
a) 25−2
2
b) (3)2
1
c) (5)−1
8) Evaluate the following, giving your answer as a simplified fraction
[2]
125 2
a) ( 64 )3
64
2
b) (27)−3
9) Give the following expression in index form
[5]
a) √7
3
b) √2
5
c) √5
3
d) √32
1
e) 3 2
√2
10) Show the following as a power of 3
[2]
a) 9
b) 93
11) Show the following as a power of 49
√7
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[1]
Solutions for the assessment Indices Rules - Advanced
1
1
1) a) 7
b) 36
1
2) 22
1
c) 1000
4
3) 7−3
4) 64
1
5) − 53
6) a) 11
b) 2
c) 36
d) 125
1
4
7) a) 125
b) 9
c) 5
9
25
b) 16
8) a) 16
1
1
b) 23
9) a) 72
1
2
c) 55
e)
1
2
23
d) 33
2
or2−3
10) a) 32
b) 36
1
11) 494
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