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WorksheetsLaws of Exponents (Mul & Div)
Total questions: 41
Worksheet time: 35mins
Name
Class
Date
1.
Simplify the expression.
a)
1/y5
b)
1/y2
c)
y2
d)
y5
2.
Simplify 2n4 * 5n4
a)
7n4
b)
10n16
c)
10n8
d)
none of the above
3.
Simplify 10xy3 * 8x5y3
a)
80xy3
b)
80x6y3
c)
80x6y6
d)
none of the above
4.
Simplify
5x4y245x6y9
a)
(9x2)/y7
b)
40x2y7
c)
9x2y7
d)
9x10y11
5.
−4g4h3m68g4h3m7
a)
-2m
b)
2ghm
c)
-32g⁸h⁶m¹³
d)
no solution
6.
a)
b)
16c3d3
c)
d)
7.
Simplify the expression.
(x3) . (x6)
a)
x9
b)
x3
c)
x18
d)
x36
8.
x8 / x2
a)
x4
b)
x16
c)
x-6
d)
x6
9.
a)
7/ u3
b)
7u11
c)
7u1.75
d)
7u3
10.
a)
d2
b)
d80
c)
d810
d)
d18
11.
a)
d2
b)
d80
c)
d810
d)
d18
12.
(34) . (37)
a)
328
b)
33
c)
3-3
d)
311
13.
a)
4x8
b)
9x2
c)
4x2
d)
9x15
14.
a)
x2.75
b)
x44
c)
x15
d)
x7
15.
(x8) . (x5)
a)
x-40
b)
x-13
c)
x3
d)
x13
16.
(2n4) . (5n4)
a)
3n4
b)
10n10
c)
3n8
d)
10n8
17.
(2) . (22) . (23)
a)
26
b)
66
c)
25
d)
65
18.
(6x2) . (6x3y4)
a)
6x5y6
b)
36x5y6
c)
36x5y4
d)
6x9y9
19.
(uv) . (4uv5)
a)
4uv5
b)
4u2v5
c)
4u1v6
d)
4u2v6
20.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
21.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
22.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
23.
Which number is the EXPONENT?
42 = 16
42 = 16
a)
4
b)
2
c)
16
24.
Simplify: x ∙ x ∙ x ∙ x ∙ x ∙ x
a)
x6
b)
6x
c)
x3
d)
6x6
25.
2 * 22 *22
a)
24
b)
84
c)
36
d)
25
26.
(42 )( 42)
a)
164
b)
42
c)
44
d)
82
27.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
28.
(6r)(5r2)
a)
30r3
b)
30r2
c)
11r3
d)
11r2
29.
When dividing with the same base: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
30.
a)
x4
b)
x8
c)
x12
d)
x20
31.
a)
6
b)
36
c)
1
d)
622
32.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
33.
Which number is the EXPONENT?
42 = 16
42 = 16
a)
4
b)
2
c)
16
34.
2 * 22 *22
a)
24
b)
84
c)
36
d)
25
35.
a)
x4
b)
x8
c)
x12
d)
x20
36.
a)
6
b)
36
c)
1
d)
622
37.
Simplify 2n4 * 5n4
a)
7n4
b)
10n16
c)
10n8
d)
none of the above
38.
Simplify: 10x2y330x3y5
a)
−3xy2
b)
10xy2
c)
3x5y8
d)
3xy2
39.
Simplify 2n4 * 6n4
a)
8n4
b)
12n8
c)
8n16
d)
none of the above
40.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
41.
a)
-6c5
b)
-6c
c)
6c
d)
-6c6
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