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4/8 - 4/9 Power of a Power and Power of a Product

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

When raising a power to a power, such as (x3)5 you will __________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

2.

Which of the following expressions is equivalent to (x2)5 ?

a)

x2+x2+x2+x2+x2x^2+x^2+x^2+x^2+x^2

b)

5x25x^2

c)

x7x^7

d)

x2⋅x2⋅x2⋅x2⋅x2x^2\cdot x^2\cdot x^2\cdot x^2\cdot x^2

3.
(5³)⁷
a)
5²¹
b)
5¹⁰
c)
5⁴
d)
125²¹
4.
Simplify:
(x3)2
a)
x5
b)
x
c)
x6
d)
3x2
5.
(r4)6
a)
10r
b)
r10
c)
24r
d)
r24
6.
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
7.
Simplify:
(7y4)2
a)
7y6
b)
14y8
c)
14y6
d)
49y8
8.

Simplify:

(6y4)2

a)

12y6

b)

62y6

c)

62y8

d)

12y8

9.

Simplify (5xy)6

a)

30x6y6

b)

5x6y6

c)

30xy6

d)

56x6y6

10.

(20b9)4

a)

20b36

b)

204b36

c)

204b9

d)

80b9