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Multiply and Divide Exponents

Total questions: 22

Worksheet time: 22mins

Name
Class
Date
1.
(42 )( 42)
a)
164
b)
42
c)
44
d)
82
2.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
3.
(6r)(5r2)
a)
30r3
b)
30r2
c)
11r3
d)
11r2
4.
a)
x4
b)
x8
c)
x12
d)
x20
5.
Simplify the expression.
a)
1/y5
b)
1/y2
c)
y2
d)
y5
6.
Simplify:
a)
x6
b)
x5
c)
x14
d)
x2
7.
Simplify:
a)
9a6
b)
9a5
c)
64a6
d)
6a5
8.

Simplify
 45x6y95x4y2\frac{45x^6y^9}{5x^4y^2}  

a)

(9x2)/y7

b)

40x2y7

c)

9x2y7

d)

9x10y11

9.

 8g4h3m7−4g4h3m6\frac{8g^4h^3m^7}{-4g^4h^3m^6}  

a)

-2m

b)

2ghm

c)

-32g⁸h⁶m¹³

d)

no solution

10.
m ⋅ m5 ⋅ m6
a)
m30
b)
m12
c)
12m
d)
mm11
11.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
12.
(k17)2
a)
k19
b)
k15
c)
2k17
d)
k34
13.
Simplify the following:
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
14.
Evaluate using the quotient rule: 
a)
a8b13
b)
a2b7
c)
a15b30
15.

Simplify using exponent rules.

a)

32x3y4

b)

32x9y13

c)

16x8y12

d)

16x6y7

16.
Rewrite using a positive exponent.
g-7
a)
1/g7
b)
g7
c)
1/g-7
d)
-g7
17.
a)
x4
b)
x8
c)
x12
d)
x20
18.
(42 )( 42)
a)
164
b)
42
c)
44
d)
82
19.
Simplify the expression.
a)
1
b)
g10
c)
g25
d)
g
20.
Evaluate using the quotient rule: 
a)
a8b13
b)
a2b7
c)
a15b30
21.
Simplify the expression.
a)
76
b)
7-5
c)
1/75
d)
75
22.
True or False: 
a)
True 
b)
False