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Unit 4 Exponents and Scientific Notation Test Review

Total questions: 30

Worksheet time: 1hrs 27mins

Name
Class
Date
1.

a)

A

b)

B

c)

C

d)

D

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

Solve and Simplify (no exponent)

 3−4×333^{-4}\times3^3  

a)

 131\frac{1}{3^1}  

b)

 3−13^{-1}  

c)

 13\frac{1}{3}  

d)

 12187\frac{1}{2187}  

12.

Solve and Simplify (no exponent)

 202^0  

a)

 00  

b)

 11  

c)

 22  

d)

 12\frac{1}{2}  

13.

Solve and Simplify (no exponent)

 (12)4\left(\frac{1}{2}\right)^4  

a)

 14\frac{1}{4}  

b)

 1616  

c)

 124\frac{1}{2^4}  

d)

 116\frac{1}{16}  

14.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
15.
Simplify:
(x3)(x2)
a)
x5
b)
x6
c)
x
d)
x1.5
16.
Simplify (-5.7)0
a)
1
b)
0
c)
-1
d)
-5.7
17.
a)
a7
b)
a10
c)
a3
d)
a-3
18.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
19.
According to exponent rules, when we divide the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
20.
Simplify:
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
21.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
22.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
23.

A rectangular section of land made up of wheat farms has a length of 5 X 104 meters and a width of 6 X 103 meters What is the area of the land in square meters?

a)

3 X 106 m2

b)

3 X 107 m2

c)

3 X 108 m2

d)

3 X 1012 m2

24.

Neptune is approximately 5 X 104 kilometers in diameter. Mars is approximately 7 X 103 kilometers in diameter. What is an accurate comparison of the diameters of these two planets?

a)

The diameter of Neptune is more than 7 times greater than that of Mars.

b)

The diameter of Mars is more than 7 times greater than that of Neptune.

c)

The diameter of Neptune is about 1.4 times greater than the diameter of Mars.

d)

The diameter of Mars is about 1.4 times greater than the diameter of Neptune.

25.
Multiply:
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
26.

Find the difference.

(3.8 x 104) - (2 x 103)

a)

1.8 x 104

b)

1.8 x 101

c)

3.6 x 101

d)

3.6 x 104

27.

Write the answer in scientific notation.

4.1 x 105 + 5.5 x 106 =

a)

5.91 x 106

b)

9.6 x 105

c)

9.6 x 1011

d)

4.65 x 105

28.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
29.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 10-4
c)
5 x 104
d)
.5 x 103
30.
The Statue of Liberty weighs 450,000 pounds. What is this number written in scientific notation?
a)
4.5 x 10-5
b)
45 x 10-4
c)
45 x 104
d)
4.5 x 105

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