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WorksheetsProperties of Exponents
Total questions: 42
Worksheet time: 6hrs 31mins
Name
Class
Date
1.
Simplify
(3x3y5)4
a)
3x12y20
b)
34x12y20
c)
12x12y20
d)
34x7y9
2.
Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
3.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
4.
(2x3y)6
a)
2x18y6
b)
26x18y6
c)
26x3y6
d)
2x3y6
5.
(3x)0
a)
(3x)1
b)
01
c)
1
d)
3x
6.
(x8)(x-5)
a)
x-40
b)
x-13
c)
x13
d)
x3
7.
a)
-7 / (3abc7)
b)
1
c)
0
d)
What does the zero power do?
8.
2x3y5 * 5xy2
a)
10x4y7
b)
7x4y7
c)
10x3y10
d)
7x3y10
9.
(6x-1y3)3
a)
63x-3y9
b)
18x-3y9
c)
36x2y6
d)
6x4y6
e)
63 y9/3
10.
(3d4)(2d5)
a)
6d9
b)
5d9
c)
6d20
d)
5d20
11.
Select the equivalent expression
5a3b5⋅3a2b2
5a3b5⋅3a2b2
a)
8a5b3
b)
15a5b7
c)
8a5b7
d)
15a5b3
12.
Zero Exponent Law states that _____ becomes a 1.
a)
the exponent
b)
the base
c)
nothing
d)
the whole term
13.
Power to a Power Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
14.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
15.
a)
x12
b)
x-12
c)
x2
d)
x-2
16.
Which expression is equivalent to the given?
a)
b)
c)
d)
17.
a)
a8b13
b)
a2b7
c)
a15b30
18.
1.) Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
19.
3.) Simplify
(45x6y2)/(5x4y9)
(45x6y2)/(5x4y9)
a)
(9x2)/y7
b)
40x2y7
c)
9x2y7
d)
9x10y11
20.
Make this negative exponent positive.
9-3
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
21.
a)
b6
b)
b7
c)
b1
d)
b-6
22.
Simplify (7a2)(5a6b)
a)
12a8b
b)
175a12b2
c)
35a8b
d)
35a12b
23.
3u4v5 * 7u2v3
a)
21u2v2
b)
14u6v8
c)
21u8v15
d)
none of the above
24.
uv * 4uv5
a)
4u2v6
b)
u2v6
c)
2u*4v
d)
4uuvvv
25.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
26.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
27.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
28.
a)
A
b)
B
c)
C
d)
D
29.
a)
A
b)
B
c)
C
d)
D
30.
Simplify using only positive exponents:
a)
1xy / 4
b)
2x5 / 3y7
c)
2x / 3y
d)
x5y / 4
31.
a)
9a8 / 4b2
b)
9b2 / 4a8
c)
9a4b6 / 4
d)
9a4 / 4b2
32.
What is the solution to
a)
-6x7
b)
-8x7
c)
-8x8
d)
-7x8
33.
What is the solution to
a)
7/xy3
b)
7x3/y3
c)
7xy
d)
7y/x3
34.
What is the solution
a)
x-6
b)
x-5
c)
x6
d)
No Solution
35.
4-8
a)
18/4
b)
48/1
c)
4/18
d)
1/48
36.
a)
Step 1
b)
Step 2
c)
Step 3
d)
No mistake was made
37.
Write with positive exponents:
a)
a-2
b)
a2
c)
1/a1
38.
Rewrite using a positive exponent.
2w-13
2w-13
a)
-w13
b)
2/w13
c)
2/w-13
d)
2w13
39.
Which is greater, 26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
40.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
41.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
42.
Solve for x
316 = (38)(3x)
a)
2
b)
8
c)
4
d)
1
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