Name:
Exam Style Questions
Laws of Indices
Equipment needed: Pen, Calculator
Guidance
1. Read each question carefully before you begin answering it.
2. Check your answers seem right.
3. Always show your workings
Video Tutorial
www.corbettmaths.com/contents
Videos 17, 174
Answers and Video Solutions
© Corbettmaths 2024
1.
22 × 23 = 2
Write the missing power in the box.
(1)
2.
Simplify 54 × 53
Circle the correct answer.
257
512
57
2512
(1)
3.
Simplify
n2 × n4
.............................
(1)
4.
p6 × p2 = px
Find the value of x
.............................
(1)
5.
Jonah was asked to simplify y 8 × y 3
His answer is y 24
Explain Jonah’s mistake.
……………………………………………………………………………………………
……………………………………………………………………………………………
(1)
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6.
(a) Simplify
w4 × w4
.............................
(1)
(b) Simplify
a6 ÷ a3
.............................
(1)
7.
(a) Simplify
m5 × m3
.............................
(1)
(b) Simplify
m8 ÷ m2
.............................
(1)
(c) Simplify
(m 3)2
.............................
(1)
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8.
Simplify
c 12
c4
.............................
(1)
9.
Simplify
m9 × m
m5
.............................
(2)
10.
Match the expressions.
(4)
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11.
Simplify the following.
s3 × s4
s2
.............................
(2)
12.
(a) Simplify
w 3 × w −5
.............................
(1)
(b) Simplify
a 4 ÷ a −2
.............................
(1)
13.
Simplify
c 7 × (c 6)
4
.............................
(2)
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14.
29 × 2−2
Work out the value of
23
.............................
(2)
15.
Simplify (5−3 × 57)
3
Give your answer as a power of 5.
.............................
(2)
16.
Simplify
2a 3c 3 × 3a 2c
.............................
(2)
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17.
Simplify
10m 5n 4
2m 2n
.............................
(2)
18.
Simplify
(7x 3)2
Circle the correct answer.
49x 5
14x 6
14x 5
49x 6
(1)
19.
Simplify
(2m 4)3
.............................
(2)
20.
3 4
Simplify (2x y )
.............................
(2)
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21.
Work out the value of 316 ÷ (32)
7
.............................
(2)
22.
Simplify
1
5
a ×a
a
2
3
3
5
.............................
(3)
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23.
Simplify fully
50πa 5
2πa 3
.............................
(3)
24.
Work out
3
23 × 38
32
.............................
(2)
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25.
Simplify 25 × 53 × 56
Give your answer as a power of 5.
.............................
(2)
26.
Write 27 × 9 x as a power of 3 in terms of x
.............................
(3)
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