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Worksheets

Exponent Properties

Total questions: 12

Worksheet time: 6mins

Name
Class
Date
1.

Anything to the power of zero is?

a)

0

b)

1

c)

2

d)

nothing

2.

Simplify:

 a0= ?a^0=\ ?  

a)

0

b)

a

c)

1

d)

2

3.

When you have a negative exponent, you must...

a)

Flip it and keep it negative

b)

Make the exponent positive

c)

Erase it

d)

Flip it and make the exponent positive

4.

 a−n= ?a^{-n}=\ ?  

a)

 1an\frac{1}{a^n}  

b)

 ana^n  

c)

Can't simplify

d)

 1a−n\frac{1}{a^{-n}}  

5.

 1a−n= ?\frac{1}{a^{-n}}=\ ?  

a)

 a−na^{-n}  

b)

 ana^n  

c)

 1an\frac{1}{a^n}  

d)

Can't Simplify

6.

When multiplying powers with the same base, you must...

a)

Multiply the exponents

b)

Subtract the exponents

c)

Add the exponents

d)

Divide the exponents

7.

 an×am =  ?a^n\times a^m\ =\ \ ?  

a)

 an×ma^{n\times m}  

b)

 an−ma^{n-m}  

c)

Can't Simplify

d)

 an+ma^{n+m}  

8.

When taking an power to a power, you must...

a)

Multiply the exponents

b)

Add the exponents

c)

Subtract the exponents

d)

Divide

9.

 (ax)y= ?\left(a^x\right)^y=\ ?  

a)

 ax+ya^{x+y}  

b)

 ax×ya^{x\times y}  

c)

 aya^y  

d)

 axa^x  

10.

 (axby)z= ?\left(a^xb^y\right)^z=\ ?  

a)

 ax×zby×za^{x\times z}b^{y\times z}  

b)

 abzab^z  

c)

 axby×za^xb^{y\times z}  

d)

 ax+zby+za^{x+z}b^{y+z}  

11.

When dividing powers with the same base, you must...

a)

Multiply the exponents

b)

Divide the exponents

c)

Add the exponents

d)

Subtract the exponents

12.

 axay= ?\frac{a^x}{a^y}=\ ?  

a)

 ax−ya^{x-y}  

b)

 ax+ya^{x+y}  

c)

 ax÷ya^{x\div y}  

d)

 axya^{xy}