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Exponents Laws Mixed Practice

Total questions: 21

Worksheet time: 38mins

Name
Class
Date
1.

What is the number in a power that tells how many times, the base is used?

a)

Base number

b)

Exponent

c)

Multiplication

d)

Addition

2.

Using exponents is a short cut for using what mathematical operation?

a)

Division

b)

Addition

c)

Multiplication

d)

Subtraction

3.
25 is the same as 2 x 5.
a)
True
b)
False
4.
Which number is the BASE?
23 = 8
a)
2
b)
3
c)
8
5.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
6.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
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.
Simplify the following:
(x3)6
a)
x9
b)
x18
c)
x6
d)
x3
9.
Simplify: 
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
10.
Division Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
11.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
12.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
13.
Simplify (c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
14.
Simplify:
93 ⋅ 94 = 912
a)
True 
b)
False 
15.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
16.
Simplify the expression: r6⋅r2⋅r3=
a)
r6+2+3
b)
r11
c)
11r
17.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
18.
Evaluate the expression using the quotient rule.
a)
122
b)
130
c)
622
d)
630
19.
40
a)
0
b)
1
c)
4
d)
-4
20.
 Evaluate the expression using the quotient rule.
a)
76
b)
7-5
c)
1/75
d)
75
21.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5