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Worksheets7.1 Exponent Laws
Total questions: 32
Worksheet time: 4hrs 15mins
Name
Class
Date
1.
Evaluate 5x4⋅4x5
a)
x24
b)
4
c)
20x9
d)
x49
2.
Evaluate 3v2⋅5v−3
a)
v15
b)
20v
c)
20v5
d)
15v5
3.
Evaluate 5n−4⋅2n6
a)
n18
b)
n912
c)
18n7
d)
10n2
4.
Evaluate x3⋅2x−6
a)
24x3
b)
x32
c)
x315
d)
6x3
5.
Simplify 4r35r6
a)
r23
b)
23r
c)
45r4
d)
45r3
6.
Simplify 5x66x−5
a)
2x43
b)
5x116
c)
2x31
d)
56x2
7.
Simplify 2x−65x3
a)
23x4
b)
x9
c)
25x9
d)
3x21
8.
Evaluate 6n−26n2
a)
n4
b)
3n101
c)
3n44
d)
4n3
9.
Simplify (5x3)2
a)
8x15
b)
25x6
c)
9x4
d)
3125x51
10.
Simplify (p3)6
a)
243p251
b)
125p18
c)
p81
d)
p18
11.
Simplify (2p3)−3
a)
16p10
b)
8p91
c)
p98
d)
243p10
12.
(2n−3)5
a)
n1036
b)
n41
c)
n1532
d)
256n8
13.
Solve 5-2
a)
-10
b)
1/25
c)
1/(5)2
d)
-1/10
14.
What is 100 equivalent to?
a)
1
b)
10
c)
0
d)
100
15.
Simplify (34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
16.
Simplify -5p0t-5 / 2-1m2
a)
-5p/2t5m2
b)
10m2/t5
c)
(-5)(2)/t5m2
d)
-10/t5m2
17.
Write with positive exponents:
a)
a-2
b)
a2
c)
1/a1
18.
Simplify x2y-5
a)
x2/y5
b)
1/x2y5
c)
y5/x2
d)
x2/y-5
19.
(c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
20.
t63•t
a)
t64
b)
t63
21.
(x14)3
a)
x17
b)
x42
c)
x11
d)
3x14
22.
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
23.
CHALLENGE:
3x3y * 2x8y5
3x3y * 2x8y5
a)
5x11y6
b)
6x11y6
c)
6x24y5
d)
3x112y5
24.
18h10÷ 6h8
a)
3h18
b)
3h80
c)
2h2
d)
3h2
25.
12h8÷ 3h4
a)
4h12
b)
9h4
c)
4h4
d)
9h12
26.
Simplify
a)
x28y12 / x2y
b)
x28y12 / x8y4
c)
x20y8
27.
Simplify the following:
(3ab2)3
(3ab2)3
a)
27a3b6
b)
3ab6
c)
3a3b6
d)
27ab2
28.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
29.
Solve (hint: there's more than 1 law you must obey)
a)
x28y12 / x2y
b)
x28y12 / x8y4
c)
x20y8
30.
1⁄4x⁻⁵
a)
x⁵⁄4
b)
4x⁵
c)
-4x⁵
d)
-x⁵⁄4
31.
a)
A
b)
B
c)
C
d)
D
32.
a)
A
b)
B
c)
C
d)
D
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