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Worksheets

Exponents Review

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Write the product using exponents:  (−5)⋅(−5)⋅(−5)⋅(−5)\left(-5\right)\cdot\left(-5\right)\cdot\left(-5\right)\cdot\left(-5\right)  

a)

 545^4  

b)

 −54-5^4  

c)

 (−5)4\left(-5\right)^4  

2.

 545^4  

Evaluate the expression:

a)

54

b)

20

c)

120

d)

625

3.

 (−4.8)−9⋅(−4.8)9\left(-4.8\right)^{-9}\cdot\left(-4.8\right)^9  Evaluate the expression:


a)

1

b)

0000.175

c)

-1

d)

-0000.175

4.

 38⋅33^8\cdot3  Simplify the expression. Write your answer as a power:

a)

 373^7  

b)

 393^9  

c)

 979^7  

5.

 (3c)4\left(3c\right)^4  

Simplify the expression:

a)

 81c481c^4  

b)

 12c512c^5  

c)

 642c264^2c^2  

6.

 8784\frac{8^7}{8^4}  Simplify the expression. Write a as a power.


a)

 8118^{11}  

b)

 8⋅8⋅88\cdot8\cdot8  

c)

 838^3  

7.

 12x54x7\frac{12x^5}{4x^7}  Simplify and write answer using only positive exponents.

a)

 3x23x^2  

b)

 3x2\frac{3}{x^2}  

c)

 3x123x^{12}  

8.

 8d−68d^{-6}  Simplify and write the expression using only positive exponents.

a)

 8d68d^6  

b)

 8d6\frac{8}{d^6}  

c)

 8d8d  

9.

Write the product using exponents: 7*7*m*m*m

a)

72m37^2m^3

b)

49m349m^3

c)

7m37m^3

d)

14m14m

10.

 (−2)6\left(-2\right)^6  Evaluate the expression:

a)

-12

b)

12

c)

64

d)

-64

11.

 5457\frac{5^4}{5^7}  Evaluate the expression:

a)

125

b)

 1125\frac{1}{125}  

c)

 535^3  

12.

 (a5)3\left(a^5\right)^3  Simplify the expression. Write your answer as a power:

a)

 a15a^{15}  

b)

 222^2  

c)

 a2a^2  

13.

 (−27p)2\left(-\frac{2}{7}p\right)^2  Simplify the expression:

a)

 49p249p^2  

b)

 414 p2\frac{4}{14\ }p^2  

c)

 449 p2\frac{4}{49\ }p^2  

d)

 14p214p^2  

14.

Simplify expression. Write a 63⋅6762\frac{6^3\cdot6^7}{6^2}  nswer as a power.

a)

 626^2  

b)

 686^8  

c)

 868^6  

d)

 262^6  

15.

 t13t5⋅t8t6\frac{t^{13}}{t^5}\cdot\frac{t^8}{t^6}  Simplify expression. Write answer as a power.

a)

 t14t^{14}  

b)

 t4t^4  

c)

 t10t^{10}