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power of power exponent

Total questions: 15

Worksheet time: 29mins

Name
Class
Date
1.

According to exponent rules, when we simplify (x2)5 we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

2.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
3.
(85)3
a)
88
b)
815
c)
82
d)
1/82
4.

Simplify (x5)6

a)

x30

b)

x11

c)

x

d)

6x11

5.

Simplify (wm5)3

a)

w3m15

b)

wm15

c)

w4m8

d)

w3m8

6.

Simplify (-2m)4

a)

16m4

b)

-8m4

c)

16m5

d)

-8m5

7.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
8.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
9.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
10.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
11.
(x5y4z3)2
a)
x10y8z6
b)
x7y6z5
c)
x10y6z5
d)
x25y16z9
12.
What is the expanded form?
(x3)4
a)
x3 ⋅x4
b)
(x⋅x⋅x)(x⋅x⋅x)(x⋅x⋅x)(x⋅x⋅x)
c)
12x
d)
x7
13.
Simplify (3x4y5)2
a)
9x8y10
b)
6x8y10
c)
3x8y10
d)
x8y10
14.
(2x7)3
a)
6x21
b)
8x21
c)
6x10
d)
8x10
15.
(4c3)2
a)
8c5
b)
8c6
c)
4c6
d)
16c6