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Product, Quotient and Power of a Power QUIZ

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.
a)
a8b13
b)
a2b7
c)
a15b30
2.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
3.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
4.
32x6 / 4x2
a)
8x4
b)
8x8
c)
6x4
d)
6x8
5.
Simplify the expression.
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
6.
Simplify the expression. 
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
7.
Simplify (c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
8.
Simplify   (2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
9.
(x3)(x5)(x10)
a)
x2
b)
18x
c)
x18
d)
x150
10.
40
a)
0
b)
1
c)
4
d)
-4
11.
Rewrite the expression as a power.
 (24)(25)
a)
220
b)
49
c)
420
d)
29
12.
Simplify the expression.
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
13.
(52)3
a)
56
b)
55
c)
57
d)
58
14.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
15.
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
16.
 Simplify
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
17.
True or False?
a)
True
b)
False
18.

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}  

19.

Which of the following is the correct way to simplify this expression?
 (ambn)p\left(\frac{a^m}{b^n}\right)^p  

a)

 am⋅pbn⋅p\frac{a^{m\cdot p}}{b^{n\cdot p}}  

b)

 am+apbn+bp\frac{a^m+a^p}{b^n+b^p}  

c)

 am⋅p bn⋅pa^{m\cdot p}\ b^{n\cdot p}  

20.

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}