WorksheetsExponent Rules Practice (Unit 7)
Total questions: 40
Worksheet time: 2hrs 48mins
Name
Class
Date
1.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
2.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
3.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
4.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
5.
How do you solve:
(2x5)(6x4)
(2x5)(6x4)
a)
MULTIPLY coefficients
MULTIPLY exponents
MULTIPLY exponents
b)
DIVIDE coefficients
SUBTRACT exponents
SUBTRACT exponents
c)
Combine like terms
d)
MULTIPLY coefficients
ADD exponents
ADD exponents
6.
How would you change this to a positive exponent:
1/x-3
1/x-3
a)
1/x3
b)
x3
c)
3x
d)
1/3x
7.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
8.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
9.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
10.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
11.
x⁵⁄x³
a)
x²
b)
x
c)
1
d)
x⁸
12.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
13.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
14.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
15.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
16.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
17.
x3y/xy5
a)
x2y4
b)
x3y4
c)
x2/y4
d)
x2/y5
18.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
19.
Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
20.
Simplify
x⁷y⁴ ⁄ x³y²
x⁷y⁴ ⁄ x³y²
a)
x⁴y²
b)
x¹⁰y⁶
c)
x²¹y⁸
d)
x⁴y⁶
21.
Simplify
a)
16x-6y14
b)
16x0y9
c)
16y9/x6
d)
(16y14)/x6
22.
Simplify
(-44)-5
(-44)-5
a)
(-4)-20
b)
(-4)20
c)
(-4)-9
d)
(-4)-1
23.
Solve
(-10)3
(-10)3
a)
-1000
b)
1000
c)
-30
d)
30
24.
Simplify (3x4y5)2
a)
9x8y10
b)
6x8y10
c)
3x8y10
d)
x8y10
25.
6x5y2 / 2x4y2
a)
3xy
b)
4x
c)
3x
d)
4xy
26.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
27.
Simplify (c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
28.
How do you solve:
(2x5)(6x4)
(2x5)(6x4)
a)
MULTIPLY coefficients
MULTIPLY exponents
MULTIPLY exponents
b)
DIVIDE coefficients
SUBTRACT exponents
SUBTRACT exponents
c)
Combine like terms
d)
MULTIPLY coefficients
ADD exponents
ADD exponents
29.
a)
y3/8
b)
y3/24
c)
y/24
d)
y3/83
30.
Simplify
(rs3)(3r2)-2
(rs3)(3r2)-2
a)
(rs3)(9r4)
b)
s3 / 9r3
c)
s3 / 6r3
d)
(rs3)(6r4)
31.
a)
5z5
b)
5/z5
c)
1/5z5
d)
1/5z-5
32.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
33.
Simplify the expression.
a)
1
b)
g10
c)
g25
d)
g
34.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
35.
Simplify.
a)
y60
b)
1/y16
c)
y-16
d)
y4
36.
x5y3 / xy2
a)
x4y
b)
x2y
c)
x4y2
d)
x6y5
37.
Simplify
a)
16x-6y14
b)
16x0y9
c)
16y9/x6
d)
(16y14)/x6
38.
a)
7z7/43
b)
7z12/4
c)
73z12/43
d)
7z12/43
39.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
40.
(-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
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