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Power Rule of Exponents

Total questions: 12

Worksheet time: 36mins

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:


(3x4y5)2

a)

9x8y10

b)

6x8y10

c)

3x8y10

d)

x8y10

6.

(2ab)3

a)

8a3b3

b)

2ab3

c)

6a3b3

d)

6ab

7.

Simplify the following expression:


(-2m)4

a)

16m4

b)

-8m4

c)

16m5

d)

-8m5

8.

Simplify the following expression:


(-2r3p2m)3

a)

-8r9p6m3

b)

-8r9p6m

c)

-6r6p5m4

d)

-6r9p6m3

9.
(52)3
a)
56
b)
55
c)
57
d)
58
10.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
11.

Simplify the following expression:


(3x3y5)4

a)

3x12y20

b)

81x12y20

c)

12x12y20

d)

81x7y9

12.
Which of the following expressions is equivalent to (2x)3 ?
a)
(2x)(2x)(2x)
b)
2(x)(x)(x)
c)
2x + 2x + 2x
d)
2x⋅3