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Exponent Rules Practice

Total questions: 60

Worksheet time: 3hrs 32mins

Name
Class
Date
1.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
2.
(c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
3.
(x⁴)²
a)
x⁸
b)
x⁶
c)
x²
d)
8
4.
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
5.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
6.
Simplify the expression:
(58) ÷ (52)
a)
56
b)
510
c)
54
d)
516
7.
Simplify the expression in exponential form:
1340
a)
0
b)
134
c)
1
8.
Simplify the expression:
(a5)(a4)
a)
a20
b)
a9
c)
a1
9.
Simplify (2x4y7)3
a)
6x7y10
b)
6xy32
c)
8x12y21
d)
8x7y10
10.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
11.
Simplify         m12/ m3
a)
m12-3  = m9
b)
m12/3  = m4
c)
m-9
d)
-m9
12.
  simplify    7-2
a)
1/72 = 1/49
b)
-49
c)
-14
d)
1/14
13.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
14.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
15.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
16.
80 = 0
a)
True 
b)
False 
17.
Simplify the expression.
a)
76
b)
7-5
c)
1/75
d)
75
18.
Simplify the expression.
a)
1
b)
g10
c)
g25
d)
g
19.
Evaluate the expression using the quotient rule.
a)
34
b)
1/34
c)
3-12
d)
332
20.
True or False?
a)
True
b)
False
21.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
22.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
23.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
24.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
25.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
26.
3³ ⋅ 3
a)
34
b)
33
c)
30
d)
1 ⁄ 34
27.
Simplify
m⁵⋅m²
a)
m⁷
b)
m³
c)
m¹⁰
d)
m²
28.
Simplify
(y³)⁵
a)
y¹⁵
b)
y⁸
c)
y⁻²
d)
y
29.
Simplify:  x10⋅x4
a)
x40
b)
x14
c)
x6
d)
2x14
30.

Write using a single exponent: 103 x 105

a)

1015

b)

108

c)

102

d)

106

31.

Write using a single exponent: (104)5

a)

1020

b)

101

c)

109

d)

106

32.

Write using a single exponent: 3733\frac{3^7}{3^3}  

a)

3103^{10}  

b)

3213^{21}  

c)

343^4  

d)

363^6  

33.

10−510^{-5}  

Write using a positive exponent:

a)

5050  

b)

10510^5  

c)

1105\frac{1}{10^5}  

d)

10910^9  

34.

Simplify the following expression:


(xyz)0 =

a)

0

b)

1

c)

xyz

d)

-1

35.

(48)2\left(\frac{4}{8}\right)^2  = ?

a)

816\frac{8}{16}  

b)

168\frac{16}{8}  

c)

1664\frac{16}{64}  

36.
Simplify   (2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
37.
X2 ⋅ X3 ⋅ X4 ⋅ X
a)
x9
b)
x24
c)
x10
d)
x25
38.

Simplify

a)

2x6

b)

2x

c)

2x5

d)

2x8

39.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
40.

Simplify:

9x6y2⋅5x2y39x^6y^2\cdot5x^2y^3  

a)

14x8y514x^8y^5  

b)

14x12y614x^{12}y^6  

c)

45x8y545x^8y^5  

d)

45x12y645x^{12}y^6  

41.

Simplify:

x−7x12\frac{x^{-7}}{x^{12}}  

a)

1x5\frac{1}{x^5}  

b)

x5x^5  

c)

x19x^{19}  

d)

1x19\frac{1}{x^{19}}  

42.
Simplify the expression.
a)
1
b)
g10
c)
g25
d)
g
43.
(5x2y2)3
a)
125x6y6
b)
15x6y6
c)
8x5y5
d)
15x5y5
44.
Simplify:  (m9)2
a)
m11
b)
2m9
c)
m18
d)
m4.5
45.

Rewrite using positive exponents

a)

24

b)

1/24

c)

42

d)

1/42

46.
Rewrite using a positive exponent.
7-10
a)
1/710
b)
710
c)
1/7-10
d)
-70
47.
Rewrite using a positive exponent.
g-7
a)
1/g7
b)
g7
c)
1/g-7
d)
-g7
48.
Rewrite using a positive exponent.
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
49.
Rewrite each expression with a negative exponent.
1/124
a)
1/12-4
b)
124
c)
1/20,736
d)
12-4
50.
Rewrite each expression with a negative exponent.
1/125
a)
1/53
b)
53
c)
5-3
d)
1/5-3
51.
Simplify.
2-3 ⋅ 2-4
a)
1/128
b)
2-7
c)
212
d)
27
52.
Simplify.
a)
y60
b)
1/y16
c)
y-16
d)
y4
53.
Rewrite using a positive exponent.
2w-13
a)
-w13
b)
2/w13
c)
2/w-13
d)
2w13
54.

Select the expressions between 0 and 1.

a)

b)

c)

d)

55.

If you simplify the expression on the left, what would be the exponent? 6?6^?

(a)  

56.

If you simplify the expression on the left, what would be the exponent? 6?6^?

(a)  

57.

Which expression would NOT be equivalent to the rest?

a)

b)

c)

d)

58.

What would be the exponent if you simplify the expression?

6?6^?

(a)  

59.

Enter the value of n that makes the equation true.

(4n45)2=424\left(4^n4^5\right)^2=4^{24}



(a)  

60.

Enter the value of n that makes the equation true.

(7n75)4=728\left(7^n7^5\right)^4=7^{28}

(a)  

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