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Zero and Negative Exponents

Total questions: 16

Worksheet time: 32mins

Name
Class
Date
1.

Any nonzero number raised to the zero power equals (a)   .

2.

Simplify.

 505^0  

a)

5

b)

1

c)

0

3.

Simplify.

 y0y^0  

a)

1

b)

0

c)

y

4.

Simplify.

 (71,429)0\left(71,429\right)^0  

a)

1

b)

0

c)

71,429

5.

Simplify.

 (4−2)(42)\left(4^{-2}\right)\left(4^2\right)  

a)

 44=2164^4=216  

b)

 40=04^0=0  

c)

 40=14^0=1  

6.

Simplify.

 x2(x6)x8\frac{x^2\left(x^6\right)}{x^8}  

a)

 x16x^{16}  

b)

 x0=1x^0=1  

c)

 x0=0x^0=0  

7.

Simplify.

 (9x−4)(3x4)\left(9x^{-4}\right)\left(3x^4\right)  

a)

 27x0=2727x^0=27  

b)

 27x0=127x^0=1  

c)

 12x0=1212x^0=12  

8.

If you have a power with a negative exponent in your answer, you should rewrite it in fraction form.

a)

True

b)

False

9.

Simplify.

 33(3−6)3^3\left(3^{-6}\right)  

a)

 3−3=1333^{-3}=\frac{1}{3^3}  

b)

 3−3=−273^{-3}=-27  

c)

 333^3  

10.

Simplify.

 y−10(y4)y^{-10}\left(y^4\right)  

a)

 y6y^6  

b)

 y−6=−6yy^{-6}=-6y  

c)

 y−6=1y6y^{-6}=\frac{1}{y^6}  

11.

Simplify.

 6567\frac{6^5}{6^7}   

a)

 6−2=162=1126^{-2}=\frac{1}{6^2}=\frac{1}{12}  

b)

 6−2=162=1366^{-2}=\frac{1}{6^2}=\frac{1}{36}  

c)

 6−2=−366^{-2}=-36  

12.

Simplify.

 a3a12\frac{a^3}{a^{12}}   

a)

 a4a^4  

b)

 a−9=−a9a^{-9}=-a^9  

c)

 a−9=1a9a^{-9}=\frac{1}{a^9}  

13.

Simplify.

 9x43x6\frac{9x^4}{3x^6}   

a)

 3x−2=13x23x^{-2}=\frac{1}{3x^2}  

b)

 6x−2=6x26x^{-2}=\frac{6}{x^2}  

c)

 3x−2=3x23x^{-2}=\frac{3}{x^2}  

14.

Simplify.

 (5c7)(4c−10)\left(5c^7\right)\left(4c^{-10}\right)  

a)

 20c−3=20c320c^{-3}=\frac{20}{c^3}  

b)

 9c−3=9c39c^{-3}=\frac{9}{c^3}  

c)

 20c320c^3  

15.

Simplify.

 (2y−5)(7y−3)\left(2y^{-5}\right)\left(7y^{-3}\right)  

a)

 14y−8=114y814y^{-8}=\frac{1}{14y^8}  

b)

 14y−8=14y814y^{-8}=\frac{14}{y^8}  

c)

 9y−8=9y89y^{-8}=\frac{9}{y^8}  

16.

Simplify.

 18b42b8\frac{18b^4}{2b^8}   

a)

 9b−4=9b49b^{-4}=\frac{9}{b^4}  

b)

 16b−4=16b416b^{-4}=\frac{16}{b^4}  

c)

 9b29b^2