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Quiz # 5 Topic 13 AE

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

Simplify

 (x3y2)7\left(\frac{x^3}{y^2}\right)^7  

a)

 x21y14\frac{x^{21}}{y^{14}}  

b)

 x10y9\frac{x^{10}}{y^9}  

c)

 x4y5\frac{x^4}{y^5}  

d)

 7x37y2\frac{7x^3}{7y^2}  

2.

Simplify

 (z5r)3\left(\frac{z^5}{r}\right)^3  

a)

 z15r3\frac{z^{15}}{r^3}  

b)

 z15r\frac{z^{15}}{r}  

c)

 z8r4\frac{z^8}{r^4}  

d)

 z8r4\frac{z^8}{r^4}  

3.

Simplify

 (7f10)2\left(\frac{7}{f^{10}}\right)^2  

a)

 14f20\frac{14}{f^{20}}  

b)

 49f20\frac{49}{f^{20}}  

c)

 9f12\frac{9}{f^{12}}  

d)

 14f12\frac{14}{f^{12}}  

4.

Simplify

 (w11g15)4\left(\frac{w^{11}}{g^{15}}\right)^4  

a)

 w44g60\frac{w^{44}}{g^{60}}  

b)

 w15g19\frac{w^{15}}{g^{19}}  

c)

 w4w^4  

d)

 1g4\frac{1}{g^4}  

5.
30y12 / 15y2
a)
2y24
b)
210
c)
2y10
d)
2y14
6.

Simplify the following:
 (x2y3)4\left(\frac{x^2}{y^3}\right)^4  

a)

 x8y12\frac{x^8}{y^{12}}  

b)

 x6y7\frac{x^6}{y^7}  

c)

 x8y12x^8y^{12}  

7.

Simplify the following:
 (x2yz3)5\left(\frac{x^2y}{z^3}\right)^5 

a)

 x10y5z15\frac{x^{10}y^5}{z^{15}} 

b)

 x10yz15\frac{x^{10}y}{z^{15}} 

c)

 x10yz3\frac{x^{10}y}{z^3} 

8.

Simplify the following:
 (3x35y)2\left(\frac{3x^3}{5y}\right)^2  

a)

 9x625y2\frac{9x^6}{25y^2}  

b)

 9x325y\frac{9x^3}{25y}  

c)

 9x65y\frac{9x^6}{5y}  

9.

Simplify the following:
 (r7s3)3\left(r^7s^3\right)^3  

a)

 r7s9r^7s^9  

b)

 r21s9r^{21}s^9  

c)

 r21s3r^{21}s^3  

10.

Simplify the following:
(4x3y2)2\left(4x^3y^2\right)^2

a)

16x3y216x^3y^2

b)

4x6y44x^6y^4

c)

16x6y416x^6y^4