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Worksheets

Evaluate Exponents

Total questions: 11

Worksheet time: 9mins

Name
Class
Date
1.

Select the expression written using exponents:  (−7)⋅(−7)⋅5⋅5⋅5⋅5\left(-7\right)\cdot\left(-7\right)\cdot5\cdot5\cdot5\cdot5  

a)

 (−7)2(5)4\left(-7\right)^2\left(5\right)^4  

b)

 −72⋅54-7^2\cdot5^4  

c)

 −(7)254-\left(7\right)^{2^{5^4}}  

d)

 (−7)5(5)2\left(-7\right)^5\left(5\right)^2  

2.

Select the expression written using exponents:  n⋅n⋅p⋅p⋅r⋅r⋅rn\cdot n\cdot p\cdot p\cdot r\cdot r\cdot r  

a)

 2n⋅2p⋅3r2n\cdot2p\cdot3r  

b)

 n2p2r3n^2p^2r^3   

c)

 2n2p3r2n2p3r  

3.

Write the following expression using exponents: 2⋅2⋅2⋅2⋅2⋅22\cdot2\cdot2\cdot2\cdot2\cdot2  

a)

62

b)

12

c)

 262^6  

d)

 626^2  

4.

Evaluate 262^6  

a)

62

b)

12

c)

64

d)

36

5.

Simplify 32⋅333^2\cdot3^3  

a)

 6⋅96\cdot9  

b)

3+3+3+3+3

c)

 363^6  

d)

 353^5  

6.

Simplify 22⋅232^2\cdot2^3  

a)

 4⋅64\cdot6  

b)

2+2+2+2+2

c)

 262^6  

d)

 252^5  

7.

What is the base of the expression (−5)3\left(-5\right)^3  ?

a)

5

b)

-5

c)

3

8.

Use the expression (−3)⋅(−3)⋅(−3)⋅12⋅12⋅12\left(-3\right)\cdot\left(-3\right)\cdot\left(-3\right)\cdot\frac{1}{2}\cdot\frac{1}{2}\cdot\frac{1}{2} .  The base -3 is used as a factor (a)   times.

9.

Use the expression (−3)⋅(−3)⋅(−3)⋅12⋅12⋅12\left(-3\right)\cdot\left(-3\right)\cdot\left(-3\right)\cdot\frac{1}{2}\cdot\frac{1}{2}\cdot\frac{1}{2} .  The base  12\frac{1}{2}  is used as a factor (a)   times.

10.

Write the expression c⋅d⋅d⋅c⋅dc\cdot d\cdot d\cdot c\cdot d  using exponents.

a)

 2c⋅3d2c\cdot3d  

b)

 c2⋅d3c^2\cdot d^3  

c)

ccddd

d)

2c+3d

11.

Evaluate 83+338^3+3^3  using exponents.

a)

33

b)

11

c)

539