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Worksheets

Powers and Exponents

Total questions: 10

Worksheet time: 45mins

Name
Class
Date
1.

Write as a product of the same factor. Then find the value.

 (18 )2\left(\frac{1}{8\ }\right)^2  

a)

 18 ×18 = 116\frac{1}{8}\ \times\frac{1}{8}\ =\ \frac{1}{16}  

b)

 18+18 = 116\frac{1}{8}+\frac{1}{8}\ =\ \frac{1}{16}  

c)

 18 × 18 = 164\frac{1}{8}\ \times\ \frac{1}{8}\ =\ \frac{1}{64}  

d)

 18 + 18 = 164\frac{1}{8}\ +\ \frac{1}{8}\ =\ \frac{1}{64}  

2.

Write the power as a product of the same factor. Then find the value.

 646^4  

a)

6 x 6 x 6 x 6 = 24

b)

6 + 6 + 6 + 6 = 24

c)

6 x 6 x 6 x 6 = 1296

3.

Fine the value of the expression.

 0.54 + 10.5^4\ +\ 1  

a)

1.625

b)

1.0625

c)

16.25

d)

162.5

4.

Which values below have a power greater than 1,000. Select all that apply.

a)

20220^2

b)

50350^3

c)

10310^3

d)

535^3

e)

949^4

5.

Write the power as a product of the same factor. Then find the value.

 373^7  

a)

3 + 3 + 3 + 3 + 3 + 3 + 3 = 2187

b)

3 + 3 + 3 + 3 x 3 x 3 x 3 = 39

c)

3 x 3 x 3 x 3 x 3 x 3 x 3 =  21

d)

3 x 3 x 3 x 3 x 3 x 3 x 3 = 2187

6.

Find the value.

 (14)3\left(\frac{1}{4}\right)^3  

a)

 112\frac{1}{12}  

b)

 164\frac{1}{64}  

c)

 312\frac{3}{12}  

d)

 364\frac{3}{64}  

7.

Find the value.

 0.0620.06^2  

a)

0.036

b)

0.012

c)

0.0036

d)

0.0012

8.

Which expressions represents the product of 5 x 5 x 5 x 5 x 5 x 5. Select all that apply.

a)

 565^6  

b)

 (15)6\left(\frac{1}{5}\right)^6  

c)

15,625

d)

30

9.

Which expressions represent the product 27 x 27 x 27 x 27? Select All that apply.

a)

(127)4\left(\frac{1}{27}\right)^4

b)

108

c)

531,441

d)

27427^4

10.

Find the value for the expression.

 10.33 + 8 =10.3^{3\ }+\ 8\ =  

a)

110.72

b)

38.9

c)

3.89

d)

1100.727