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Worksheets

Exponent Laws - Practice

Total questions: 8

Worksheet time: 40mins

Name
Class
Date
1.
Simplify the following:
x2x3
a)
x3
b)
x2
c)
x6
d)
X5
2.

Simplify: 
 8782\frac{8^7}{8^2}  

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

3.

Simplify the following:

x-3

a)

1x3\frac{1}{x^3}

b)

x3x^3

c)

1x\frac{1}{x}

d)

1x−3\frac{1}{x^{-3}}

4.

What is the value of:

4-2

a)

14\frac{1}{4}

b)

116\frac{1}{16}

c)

16

d)

4

5.

Select the exponent that makes the equation true.

a)

14

b)

28

c)

3

d)

21

e)

0

6.

Simplify x−3x−7\frac{x^{-3}}{x^{-7}}  

a)

 x−10x^{-10}  

b)

 x−4x^{-4}  

c)

 x4x^4  

d)

 x37x^{\frac{3}{7}}  

7.

Simplify

 23×2−5×272^3\times2^{-5}\times2^7  

a)

 252^5  

b)

 2−1052^{-105}  

c)

 2−502^{-50}  

d)

 2152^{15}  

8.

Standard form (Last class): Which of the following is equivalent to

 3.42×1053.42\times10^5  

a)

342

b)

34250

c)

342500000

d)

342500