Worksheets1.2 LAW OF INDICES
Total questions: 46
Worksheet time: 2hrs 42mins
Name
Class
Date
1.
What is the correct law for multiplication? am x an =
a)
am+n
b)
am + an
c)
amxn
d)
amn
2.
Simplify: w24 ÷ w8
a)
w16
b)
w3
c)
w32
d)
w24/8
3.
What is the correct law for division? am ÷ an =
a)
am-n
b)
am - an
c)
am÷n
d)
am/n
4.
xx4=
a)
(x÷1)4
b)
x(4÷1)
c)
x(4−0)
d)
x(4−1)
5.
What is 46÷42
a)
43
b)
44
6.
What is x 5÷x
a)
x5
b)
x4
c)
x3
d)
x2
7.
12x5×3x4
a)
12x9
b)
24x
c)
36x
d)
36x9
8.
What is 23x24
a)
27
b)
212
9.
What is 7.23x7.22
a)
7.26
b)
7.25
10.
What is a8÷a3
a)
a3
b)
a4
c)
a5
d)
a6
11.
What is 106÷102x105
a)
1015
b)
108
c)
109
d)
1020
12.
What is b3xb4÷b2?
a)
b7
b)
b5
c)
b6
d)
b2.5
13.
Simplify: 35 x 37
a)
312
b)
912
c)
335
d)
935
14.
Simplify: 28 ÷ 22
a)
26
b)
24
c)
210
d)
1
15.
Simplify: b17 x b5
a)
b22
b)
b85
c)
(b2)22
d)
b12
16.
Simplify: 3x3 × 6x8
a)
18x11
b)
18x24
c)
9x11
d)
9x24
17.
Simplify: 42m12 ÷ 7m6
a)
6m6
b)
6m2
c)
35m6
d)
35m2
18.
Simplify: 4x2y × 9xy2
a)
36x3y3
b)
36xy3
c)
13x2y2
d)
13x3y3
19.
72×73=
a)
75
b)
76
c)
14×21
d)
492×3
20.
Write 62 x 63 as a single power
a)
7776
b)
66
c)
65
d)
365
21.
Write 95 ÷ 93 as a single power
a)
92
b)
98
c)
915
d)
12
22.
Simplify 53 x 54
a)
57
b)
257
c)
512
d)
2512
23.
Simplify 65 x 6 x 63
a)
68
b)
2168
c)
69
d)
2169
24.
Simplify 53 x 54
a)
512
b)
57
c)
2512
d)
257
25.
Simplify 620 ÷ 65
a)
615
b)
625
c)
15
d)
64
26.
Simplify 47 ÷ 43
a)
410
b)
4
c)
421
d)
44
27.
a7×a4÷a5
a)
a7
b)
a6
c)
a4
d)
a11
28.
a)
y4
b)
y5
c)
y6
d)
6y
29.
Calculate 3a8 x 4a2
a)
12a10
b)
12a16
c)
7a10
d)
7a16
30.
a)
x4
b)
4x3
c)
3x3
d)
4x2
31.
Simplify,
t -3 ÷ t - 1
a)
t 2
b)
t - 4
c)
t - 2
d)
(t - 1)2
32.
Simplify:
25 x 6
5 x 3
a)
20x3
b)
5x9
c)
5x3
33.
22×2−2
a)
21
b)
4
c)
2−1
d)
1
34.
Simplify: 3x2 × (2x)3 × x6
a)
24x11
b)
24x9
c)
6x11
d)
6x9
35.
26 ÷ 2x = 8
what is the value of x?
a)
0
b)
1
c)
2
d)
3
36.
If 5n = 125 find n.
a)
25
b)
1/3
c)
-3
d)
3
37.
Simplify: χ3 ÷ χ2
a)
χ
b)
χ5
c)
χ6
d)
χ-1
e)
1/χ
38.
Find a10 ÷ a2
a)
a8
b)
a5
c)
a12
d)
a102
39.
Calculate 11a5 x 8a7
a)
88a12
b)
88a35
c)
19a12
d)
19a35
40.
Find a-80 ÷ a8
a)
a-88
b)
a10
c)
a88
d)
a-72
41.
a7×a4÷a5
a)
a7
b)
a6
c)
a4
d)
a11
42.
Simplify
a)
A
b)
B
c)
C
d)
D
43.
a×a×a
a)
3a
b)
3a3
c)
a3
d)
3a2
44.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
45.
5a×3a
a)
15a2
b)
30a
c)
15a
d)
a30
46.
a)
x2
b)
x6
c)
x5
d)
x-6
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