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Unit 7 Exponent Assessment Prep Grade 8

Total questions: 15

Worksheet time: 17mins

Name
Class
Date
1.

 112116\frac{11^{-2}}{11^{-6}}^{ }  

a)

 11811^{-8}  

b)

 11411^4  

c)

 111211^{12}  

d)

 11811^8  

2.

 63  x  656^{-3\ }\ x\ \ 6^{-5}  Which of the following is equivalent to this

a)

 361536^{15}  

b)

 686^8  

c)

 6156^{15}  

d)

 686^{-8}  

3.

 73  747^{3\ }\cdot\ 7^4  simplify

a)

 777^7  

b)

 7127^{12}  

c)

 491249^{12}  

d)

 14714^7  

4.

 4642\frac{4^6}{4^2}  Simplify the quotient:

a)

 4124^{12}  

b)

 444^{-4}  

c)

 444^4  

d)

 484^8  

5.

 434^3  What is another way of expressing

a)

4 x 4 x 4

b)

4 + 4 + 4

c)

4 + 3

d)

 343^4  

6.

 10310^{-3}  This expression is equivalent to:

a)

30

b)

0.1

c)

0.01

d)

0.001

7.

 343?=393^4\cdot3^?=3^9  Find the missing exponent that makes the equation true.

a)

5

b)

13

c)

10

d)

4

8.

 62636^2\cdot6^3  Simplify the expression:

a)

 666^6  

b)

 888\cdot8  

c)

 656^5  

d)

 36536^5  

9.

 42 x 434^{-2\ }x\ 4^{-3}  Which expression is equivalent to:

a)

 146\frac{1}{4^6}  

b)

 145-\frac{1}{4^5}  

c)

 146-\frac{1}{4^6}  

d)

 145\frac{1}{4^5}  

10.

 71 x 737^1\ x\ 7^{-3}  Simplify:

a)

 1650\frac{1}{650}  

b)

 149\frac{1}{49}  

c)

 4949  

d)

 2,2342,234  

11.

 35 3236\frac{3^5\cdot\ 3^2}{3^6}  What is the value of:

a)

333

b)

81

c)

9

d)

3

12.

If a hair has a diameter of 0.00003 inches, which of these is a good estimate given in scientific notation?

a)

3 x 1043\ x\ 10^4

b)

3 x 1053\ x\ 10^{-5}

c)

3 x 1063\ x\ 10^{-6}

d)

3 x 1033\ x\ 10^3

13.

Some galaxies in the universe could contain as many as

1,000,000,000,000,000 stars. Which of these is a good estimate of this number in scientific notation?

a)

1 x 10321\ x\ 10^{32}

b)

1 x 10201\ x\ 10^{-20}

c)

1 x 10251\ x\ 10^{25}

d)

1 x 10151\ x\ 10^{15}

14.

The number one million consists of a 1 followed by 6 zeroes. Which of the following is an appropriate estimate of this number?

a)

10 x 10810\ x\ 10^8

b)

30 x 104530\ x\ 10^{45}

c)

1 x 1061\ x\ 10^6

d)

1 x 1061\ x\ 10^{-6}

15.

The sound frequency for most insects occur at about 15,000 Hz. Which of these represent that frequency in scientific notation?

a)

1.5 x 1041.5\ x\ 10^4

b)

15 x 10815\ x\ 10^8

c)

1.5 x 1021.5\ x\ 10^2

d)

1.5 x 1061.5\ x\ 10^6