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POWER OF A POWER PRACTICE SET

Total questions: 15

Worksheet time: 31mins

Name
Class
Date
1.

Simplify the following expression:


(x5)4

a)

x9

b)

x20

c)

x

d)

x54

2.

Simplify the following expression:


(b3)8

a)

b11

b)

8b3

c)

b24

d)

24b

3.

Simplify the following expression:


(2x3y)6

a)

2x18y6

b)

64x18y6

c)

64x3y6

d)

2x3y6

4.

Simplify the following expression:


(3x4y5)2

a)

9x8y10

b)

6x8y10

c)

3x8y10

d)

x8y10

5.

Simplify the following expression:


(3y⁴)²

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

6.

(2ab)3

a)

8a3b3

b)

2ab3

c)

6a3b3

d)

6ab

7.

Simplify the following expression:


(3x3y5)4

a)

3x12y20

b)

81x12y20

c)

12x12y20

d)

81x7y9

8.

Simplify the following expression:


(-2m)4

a)

16m4

b)

-8m4

c)

16m5

d)

-8m5

9.

Simplify the following expression:


(-2r3p2m)3

a)

-8r9p6m3

b)

-8r9p6m

c)

-6r6p5m4

d)

-6r9p6m3

10.
(r4)6
a)
10r
b)
r10
c)
24r
d)
r24
11.

(a3b5)7\left(a^3b^5\right)^7  =

a)

a3b35a^3b^{35}  

b)

a10b12a^{10}b^{12}  

c)

a8b8a^8b^8  

d)

a21b35a^{21}b^{35}  

12.

(−2)3\left(-2\right)^3  

a)

88  

b)

−8-8  

c)

−6-6  

d)

18\frac{1}{8}  

13.
Simplify:
(7y4)2
a)
7y6
b)
14y8
c)
14y6
d)
49y8
14.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
15.


(4qm2p2)4\left(4qm^2p^2\right)^4  

a)

16q5m6p616q^5m^6p^6  

b)

256q4m8p8256q^4m^8p^8  

c)

16q4m6p616q^4m^6p^6  

d)

  256q5m6p6256q^5m^6p^6