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Worksheets

Exponents Review

Total questions: 24

Worksheet time: 24mins

Name
Class
Date
1.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
2.

(2b)3

a)

8b3

b)

2b3

c)

6b3

d)

6b

3.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
4.
Evaluate the expression using the quotient rule.
a)
34
b)
1/34
c)
3-12
d)
332
5.
y⁻¹¹⋅y⁵
a)
1⁄y⁶
b)
y⁶
c)
-y⁶
d)
-1⁄y⁶
6.
Power to a Power Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
7.
Division Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
8.
Zero Exponent Law states that _____ becomes a 1.
a)
the exponent
b)
the base
c)
nothing
d)
the whole term
9.
Simplify:
x÷ x2
a)
x7
b)
x3
c)
x10
d)
x2.5
10.
Simplify:
(x3)(x2)
a)
x5
b)
x6
c)
x
d)
x1.5
11.
Simplify:
2a÷ 2a3
a)
a4
b)
1/a4
c)
2a4
d)
a7/3
12.
Simplify (-5.7)0
a)
1
b)
0
c)
-1
d)
-5.7
13.
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x10
d)
3x7
14.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
15.

Simplify the following expression: 
5y-7

a)

1/(5y7)

b)

5/y7

c)

57/y

d)

57y

16.

(2x3)6

a)

2x18

b)

64x18

c)

64x3

d)

2x3

17.
Make this negative exponent positive.
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
18.
How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?
a)
57
b)
56
c)
75
d)
5
19.
a)
49
b)
444
c)
421
d)
415
20.
a)
2560
b)
2517
c)
560
d)
517
21.
a)
0
b)
3
c)
1
d)
-1
22.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
23.

Simplify 12a224a4\frac{12a^2}{24a^4}

a)

2a2

b)

1/2a2

c)

2a1/2

d)

a2/2

24.

 1a5\frac{1}{a^{-5}}  

a)

 a5a^{-5}  

b)

 a5\frac{a}{5}  

c)

 a5a^5  

d)

 5a\frac{5}{a}