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Exponent Practice - 8th Grade

Total questions: 25

Worksheet time: 42mins

Name
Class
Date
1.
3⁻⁴
a)
1 ⁄ 81
b)
-81
c)
81
d)
1 ⁄ 12
2.
What is 10equivalent to?
a)
1
b)
10
c)
0
d)
100
3.
Simplify x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
4.

mm3m\cdot m^3  

a)

m2m^2  

b)

m3m^3  

c)

2m

d)

m4m^4  

5.
(x8)(x-5)
a)
x-40
b)
x-13
c)
x13
d)
x3
6.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
7.

Simplify the expressions  (x12)2\left(x^{12}\right)^2  

a)

x24x^{24}  

b)

x10x^{10}  

c)

x14x^{14}  

8.
Simplify
m⁵⋅m²
a)
m⁷
b)
c)
m¹⁰
d)
9.
(2x7)3
a)
6x21
b)
8x21
c)
6x10
d)
8x10
10.
(2x3y)6
Hint: if 2 is raised to a power, find the value.
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
11.
6k2 * k
a)
6
b)
6k
c)
6k2
d)
6k3
12.
53⋅56
a)
1018
b)
59
c)
109
d)
259
13.
4x* 3x
a)
7x2
b)
7x3
c)
12x3
d)
12x2
14.
Simplify: x ∙ x ∙ x ∙ x ∙ x  ∙ x
a)
x6
b)
6x
c)
x3
d)
6x6
15.
Billy was asked to solve 35∙34. He got 920. What error did he make?
a)
When he multiplies exponents, he is supposed to add the base and the exponent
b)
When he multiplies exponents, he is supposed to multiply the base and keep the exponents
c)
When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same
d)
None of the above
16.

c4×c3c^4\times c^3  

a)

c1c^1  

b)

c12c^{12}  

c)

c7c^7  

17.

x6x2\frac{x^6}{x^2}  

a)

x4x^4  

b)

x8x^8  

c)

x3x^3  

d)

x12x^{12}  

18.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

-a12b12

b)

-a7b7

c)

a7b7

d)

a12b12

19.

According to exponent rules, when we raise an exponential expression to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

20.

According to exponent rules, when we multiply exponential expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

21.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

22.
a)
-30x11
b)
-30x18
c)
-x11
d)
-x18
23.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
24.
Evaluate the expression using the quotient rule.
a)
y15
b)
y50
c)
y2
d)
y5
25.
Evaluate the expression using the quotient rule.
a)
1
b)
g10
c)
g25
d)
g