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WorksheetsExponents: Product Rule
Total questions: 15
Worksheet time: 4hrs 45mins
Name
Class
Date
1.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
2.
Simplify the following expression:
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
3.
Simplify the following expression:
(b3)8
a)
b11
b)
8b3
c)
b24
d)
24b
4.
Simplify the following expression:
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
5.
Simplify the following expression:
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
6.
(2ab)3
a)
23a3b3
b)
2ab3
c)
6a3b3
d)
6ab
7.
Simplify the following expression:
(3x3y2)4
a)
12x12y6
b)
81x12y8
c)
81x7y6
d)
12x12y8
8.
Simplify the following expression:
(x2)8
a)
x10
b)
16x2
c)
x16
d)
16x
9.
Simplify the following expression:
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
10.
Simplify the following expression:
r6 ⋅ r2 ⋅ r3
a)
r623
b)
r11
c)
11r
d)
r36
11.
Simplify the following expression:
3x4 ⋅ 6x6
a)
18x10
b)
9x10
c)
18x24
d)
9x24
12.
Simplify the following expression:
2x3y5 ⋅ 5xy2
a)
10x4y7
b)
7x4y7
c)
10x3y10
d)
7x3y10
13.
Simplify the following expression:
3x ⋅ 6x6
a)
18x7
b)
9x6
c)
18x6
d)
9x24
14.
Simplify the expression:
c4 ⋅ c3 =
a)
2c12
b)
c12
c)
c7
15.
Simplify the expression: 3x2 ⋅ x2=
a)
3x
b)
4x2
c)
3x4
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