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Exponent Rules

Total questions: 10

Worksheet time: 24mins

Name
Class
Date
1.

 382,7490=382,749^0=  

a)

0

b)

1

c)

382,749

d)

 1382,749\frac{1}{382,749}  

2.

 (4x3y2)(5xy6)=\left(4x^3y^2\right)\left(5xy^6\right)=  

a)

 9x4y89x^4y^8  

b)

 20x3y820x^3y^8  

c)

 20x4y820x^4y^8  

d)

 9x3y129x^3y^{12}  

3.

 a4a8=\frac{a^4}{a^8}=  

a)

 1a4\frac{1}{a^4}  

b)

 a4a^4  

c)

 a12a^{12}  

d)

 1a12\frac{1}{a^{12}}  

4.

Which of the following is the same as  y10y^{10}  ?

a)

 y0+y10y^0+y^{10}  

b)

 y2⋅y5y^2\cdot y^5  

c)

 y100y10\frac{y^{100}}{y^{10}}  

d)

 (y2)5\left(y^2\right)^5  

5.

 (−34)2=\left(-\frac{3}{4}\right)^2=  

a)

 68\frac{6}{8}  

b)

 −916-\frac{9}{16}  

c)

 916\frac{9}{16}  

d)

 −68-\frac{6}{8}  

6.

 2x−1=2x^{-1}=  

a)

 2x\frac{2}{x}  

b)

 12x\frac{1}{2x}  

c)

 −2x-\frac{2}{x}  

d)

 −2x-2x  

7.

 15x4y65xy2=\frac{15x^4y^6}{5xy^2}=  

a)

 10x3y410x^3y^4  

b)

 3x3y43x^3y^4  

c)

 3x4y33x^4y^3  

d)

 10x4y310x^4y^3  

8.

 (−3a5b6)2=\left(-3a^5b^6\right)^2=  

a)

 −6a7b8-6a^7b^8  

b)

 6a7b86a^7b^8  

c)

 −9a10b12-9a^{10}b^{12}  

d)

 9a10b129a^{10}b^{12}  

9.

Which of the following is the same as  g−8g^{-8}  ?

a)

 g−2⋅g−4g^{-2}\cdot g^{-4}  

b)

 g2g10\frac{g^2}{g^{10}}  

c)

 (g3)−5\left(g^3\right)^{-5}  

d)

 −g8-g^8  

10.

 (a3b)4⋅(ab5)2=\left(a^3b\right)^4\cdot\left(ab^5\right)^2=  

a)

 a9b14a^9b^{14}  

b)

 a6b9a^6b^9  

c)

 a14b14a^{14}b^{14}  

d)

 a24b40a^{24}b^{40}