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Worksheets

Exponents

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.

In the expression  252^5 , what is the base?

a)

2

b)

5

2.

Solve  (73)=\left(7^3\right)=  

a)

21

b)

 7×7×77\times7\times7  

c)

 7×37\times3  

d)

343

3.

Anything raised to a power of zero is always

a)

0

b)

1

c)

itself

d)

negative

4.

Expand  (−2b)2\left(-2b\right)^2  

a)

 2b22b^2  

b)

 −2b2-2b^2  

c)

 −4b2-4b^2  

d)

 4b24b^2  

5.

Simplify  2m2 ⋅ 7m2m^2\ \cdot\ 7m  

a)

 14m314m^3  

b)

 14m14m  

c)

 9m39m^3  

d)

 9m9m  

6.

 181=18^1=  

a)

0

b)

18

c)

324

d)

1

7.

Are these two equivalent (the same)  22 = (−2)22^2\ =\ \left(-2\right)^2  

a)

Yes

b)

No

8.

 Solve (7−2)= Solve\ \left(7^{-2}\right)=\  

a)

 4949  

b)

 149\frac{1}{49}  

c)

 −14-14  

d)

 −9-9  

9.

Simplify the expression by multiplying  4a22a⋅2a1\frac{4a^2}{2a}\cdot\frac{2a}{1}  

a)

 4a24a^2  

b)

 8a32a\frac{8a^3}{2a}  

c)

 6a36a^3  

d)

 8a8a  

10.

Simplify the expression by multiplying:  3bb2⋅b2b2=\frac{3b^{ }}{b^2}\cdot\frac{b^2}{b^2}=  

a)

 3b3b4\frac{3b^3}{b^4}  

b)

 9b29b^2  

c)

 3b\frac{3}{b}  

d)

 3b23b^2  

11.

 (x5)4=\left(x^5\right)^4=  

a)

 2020  

b)

 x9x^9  

c)

 x20x^{20}  

d)

 99  

12.

Write the product using exponents:  (−2)(−2)(−2)(−2)(−2)=\left(-2\right)\left(-2\right)\left(-2\right)\left(-2\right)\left(-2\right)=  

a)

 22  

b)

 −2-2  

c)

 252^5  

d)

 (−2)5\left(-2\right)^5  

13.

 x⋅5x=x\cdot5x=  

a)

 6x6x  

b)

 5x25x^2  

14.

Simplify  6ab4b=\frac{6ab}{4b}=  

a)

 6a4\frac{6a}{4}  

b)

 3a2\frac{3a}{2}  

c)

 2a2a  

d)

 2ab2ab  

15.

What is the expanded form of  4−34^{-3}  =

a)

 14×4×4\frac{1}{4\times4\times4}  

b)

 164\frac{1}{64}  

c)

 4×4×44\times4\times4  

d)

 3×3×3×33\times3\times3\times3