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WorksheetsExponent Rules Basic
Total questions: 28
Worksheet time: 43mins
Name
Class
Date
1.
Simplify m12/ m3
a)
m12-3 = m9
b)
m12/3 = m4
c)
m-9
d)
-m9
2.
Simplify (7x4)(9x3)
a)
16x12
b)
79 x12
c)
63x4+3 = 63x7
d)
63x12 noooo oh nooooo
3.
Simplify the expression.
a)
1
b)
g10
c)
g25
d)
g
4.
Evaluate using the quotient rule:
a)
a8b13
b)
a2b7
c)
a15b30
5.
Quotient Rule states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
6.
True or False?
a)
True
b)
False
7.
Simplify using the product rule: x3y2x3=
a)
x6y2
b)
xy8
c)
x3y5
8.
Using the PRODUCT RULE
complete the following:
(Write it out on paper if you need to!)
b4 ⋅ b8 =
complete the following:
(Write it out on paper if you need to!)
b4 ⋅ b8 =
a)
b32
b)
4b8
c)
b12
d)
8b4
9.
Using the POWER RULE
Solve the following:
(3xy)2
a)
6x2y2
b)
9x2y2
c)
3xy2
d)
3x2y
10.
m ⋅ m5 ⋅ m6
a)
m30
b)
m12
c)
12m
d)
mm11
11.
(-3x4)3
a)
-3x343
b)
-27x12
c)
27x12
d)
-3x12
12.
Using exponents, simplify the following expression:
z-3 * z6 * z-3
a)
1
b)
z6
c)
z54
d)
1/z6
13.
Simplify the following expression:
(xyz)0 =
a)
0
b)
1
c)
xyz
d)
-1
14.
Using exponents, simplify the following expression:
(x2)3 * x4
__________
x8
a)
x
b)
x2
c)
x16
d)
x17
15.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
16.
-3xy3 . (4xy)2
a)
-12x3y5
b)
-48x2y4
c)
-48x3y5
d)
-12x2y6
17.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
18.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
19.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
20.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
21.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
22.
-14x7/7x
a)
-2x6
b)
-2x
c)
-2x5
d)
-2x8
23.
Simplify: (2a3b4c3)2⋅(4a2bc3)
a)
16a8b9c9
b)
8a8b9c9
c)
8a6b5c6
d)
16a5b5c6
24.
a)
a8b13
b)
a2b7
c)
a15b30
25.
Simplify: (5p9q3)(2pq7)
a)
7p10q10
b)
10p9q21
c)
10p10q10
d)
10p8q-4
26.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
27.
Simplify using exponent rules.
a)
32x3y4
b)
32x9y13
c)
16x8y12
d)
16x6y7
28.
a)
2v0
b)
2v
c)
1/2
d)
2
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