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Worksheets1st and 2nd index laws
Total questions: 20
Worksheet time: 15mins
Name
Class
Date
1.
a3 x a5
a)
a15
b)
a2
c)
a8
d)
a-2
2.
b9 x b7
a)
b63
b)
b16
c)
b15
d)
b2
3.
c5 ÷ c2
a)
c7
b)
c3
c)
c10
d)
c-2
4.
b2 x c5
a)
b2c5
b)
bc7
c)
b7c
d)
bc10
5.
a7 x a9
a)
a63
b)
a2
c)
a8
d)
a16
6.
Simplify the following: x12 ÷ x3
a)
x36
b)
x9
c)
x15
d)
x4
7.
am x an = ____
a)
am+n
b)
am x n
c)
a2mn
8.
Simplify: 5b4×4b3
a)
20b7
b)
9b7
c)
9b12
d)
20b12
9.
Simplify the following: 3b × 6b2
a)
9b4
b)
6b5
c)
18b3
d)
9b3
10.
Simplify: ab2 × a3b5
a)
a3b7
b)
ab10
c)
ab17
d)
a4b7
11.
Simplify: a5b10 ÷ a3b3
a)
a8b13
b)
a2b7
c)
a15b30
12.
Simplify 620 ÷65
a)
615
b)
625
c)
15
13.
Simplify 3b×6b2
a)
9b4
b)
6b5
c)
18b3
d)
9b3
14.
y8 ÷ y
a)
y8
b)
y3
c)
y9
d)
y7
15.
Simplify ab2 × a3b5
a)
a3b7
b)
ab10
c)
ab17
d)
a4b7
16.
Simplify 53 x 54
a)
512
b)
57
c)
2512
d)
257
17.
Simplify 620 ÷65
a)
615
b)
625
c)
15
18.
a11÷a3
a)
a6
b)
a7
c)
a14
d)
a8
19.
Which of the following is a correct Index Law:
a)
am÷an=am+n
b)
am÷an=am-n
c)
am÷an=am÷n
d)
am÷an=am×n
20.
Simplify: (4pq3)2 ÷ (2p2q)3
a)
2p-4q3
b)
8p4q3
c)
16p4q2
d)
4p-4q2
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