Indices Rules - Basics
Name :
Class :
Date :
Mark :
1) Write in index form
/18
%
[4]
a) 2 × 2 × 2 × 2
b) 7 × 2 × 2
c)
5×5×5×5×5×5
5×5×5×5
d) 5 × 7 × 5
2) Evaluate the following. Where appropriate, leave your answer as a fraction.
[5]
a) 10 × 10−2
b) 52 × 5−3 × 53
c) 35 ÷ 32
d)
3−4
3−2
e) (10−1 )2
3) Evaluate
[1]
780
4) Simplify, giving your answer in index form
a) 70 × 7−2
b) 7−2 × 75 × 7−3
c) (3−2 )4
d) 34 ÷ 3−4
e)
5−6
5−3
Copyright Mathster.com 2016. Licensed to Thornleigh Salesian College, Bolton
[5]
5) Simplify
[1]
880
6) Show the following as a power of 5
[1]
125
7) Show the following as a power of 4
16−1
Copyright Mathster.com 2016. Licensed to Thornleigh Salesian College, Bolton
[1]
Solutions for the assessment Indices Rules - Basics
1) a) 24
b) 7 × 22
c) 52
d) 7 × 52
2) a)
1
b) 25
10
c) 27
e)
1
9
3) 1
1
100
4) a) 7−2 or
c) 3−8 or
e) 5−3 or
6) 53
d)
1
72
1
38
1
b) 1 or 70
d) 38
5) 1
53
7) 4−2
Copyright Mathster.com 2016. Licensed to Thornleigh Salesian College, Bolton