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Math 8 - Exponent Properties review

Total questions: 26

Worksheet time: 24mins

Name
Class
Date
1.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
2.
Simplify the expression: 3x2⋅x2=
a)
3x
b)
3x2+2
c)
3x4
3.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
4.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
5.
Simplify 4-2
a)
1/16
b)
-16
c)
1/4
d)
-42
6.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

7.

x6 / x2

a)

x4

b)

x12

c)

x3

d)

x8

8.
a)
b)
c)
d)
9.
a)
b)
c)
d)
10.
a)
b)
c)
d)
11.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
12.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
13.
-4x0
a)
-4x
b)
-4
c)
1
d)
-1
14.

Simplify

(2a2b4z)(6a3b2z5)

a)

8a5b6z6

b)

12a6b8z5

c)

12a5b6z6

d)

8a6b8z5

15.

Simplify

a)

x4/3

b)

3x10

c)

36x10

d)

3x4

16.
Multiply
a)
100
b)
10
c)
10-2
d)
1/100
17.
a)
0
b)
3
c)
1
d)
-1
18.
a)
2560
b)
2517
c)
560
d)
517
19.
a)
4-2
b)
1/42
c)
1/16
d)
all of the above
20.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
21.
How do you write
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
22.
How do you write
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
23.

Express the following in standard notation:

8.025 x 10-8

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

24.
Which one of these is in scientific notation?
a)
8.987000
b)
8.98 x 106
c)
80.987 x 10
d)
8.986
25.
Multiply:
(1.4 x 105)(2 x 107)
a)
2.8 x 1035
b)
2.4 x 1012
c)
2.8 x 1012
26.

Divide:

5.2 x 1011 ÷ 2 x 105

a)

3.2 x 106

b)

2.6 x 106

c)

2.6 x 1016