Uploaded by Hannah Maths

Index Laws worksheet

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1. Simplify each of the following:
a) 2(𝑥 3 𝑦)2
b) (4𝑎2 )3
c) (8𝑡 2 𝑢9 𝑣 4 )0
d)
e)
f)
g)
h)
2. Express each of the following with positive indices only:
b) 𝑥 −5
b) 2𝑎−3 𝑏2
c) 3𝑚−5
d) 7𝑟 −2 𝑠 −3
e) 5𝑥 −2
f) 5−1 𝑢−8 𝑣 2
g)
1
𝑦 −1
h)
1
𝑚−5
i)
3
𝑡 −2
3.
4.
ANSWERS
1 a
2 a
b
b
c
c
d
d
e
f
e
f
g
h
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