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WorksheetsProperties of Exponents
Total questions: 33
Worksheet time: 50mins
Name
Class
Date
1.
Write each product using an exponent.
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7
a)
77
b)
78
c)
87
d)
79
2.
Find the value (standard form) of the power.
33
33
a)
9
b)
6
c)
27
d)
12
3.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
4.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
5.
Simplify (-1/2)0
a)
1
b)
0
c)
-1
d)
-2
6.
Simplify:
(2x3y)6
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
7.
Simplify:
40
40
a)
0
b)
1
c)
4
d)
-4
8.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
9.
Simplify:
x3y/xy5
x3y/xy5
a)
x2y4
b)
x3y4
c)
x2/y4
d)
x2/y5
10.
Write each product using an exponent.
4 x 4 x 4 x 4 x 4
4 x 4 x 4 x 4 x 4
a)
45
b)
54
c)
46
d)
46
11.
Simplify:
5³⋅5⁴
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
12.
Simplify:
6⋅6⁷
6⋅6⁷
a)
6⁸
b)
6⁶
c)
6⁷
d)
6
13.
Simplify:
(2⁸)²
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
14.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
15.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
16.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
17.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
18.
Simplify:
n²⋅n⁴⋅n⁵
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
19.
Simplify:
8⁷ ⁄ 8²
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
20.
Simplify:
3⁻⁴
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
21.
Simplify:
(34x5y6z-7)0
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
22.
Simplify:
(3y⁴)²
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
23.
Simplify:
3x⁻³
3x⁻³
a)
1⁄3x³
b)
3⁄x³
c)
3x³
d)
-3x³
24.
Fill in the blank with the correct exponent to make the statement true.
316 = (38)(3_)
316 = (38)(3_)
a)
2
b)
8
c)
4
d)
1
25.
a)
a
b)
b
26.
In 23 what is the base?
a)
2
b)
3
c)
23
27.
In 23 what is the exponent?
a)
2
b)
3
c)
23
28.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
29.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
30.
Simplify:
(6p2q3)(4pq)
(6p2q3)(4pq)
a)
10p3q4
b)
24p2q3
c)
24p3q4
d)
10p2q3
31.
Simplify:
16x7y9z2 / 2x6yz5
16x7y9z2 / 2x6yz5
a)
8xy8 / z3
b)
14xy8 / z3
c)
8x13y10z7
d)
14xyz
32.
If a rectangle has a height of 5x2y7 and a width of 3x3y, what is the area? (Hint: Multiply width by height to get area of a rectangle)
a)
8x5y8
b)
15x6y7
c)
8x6y7
d)
15x5y8
33.
Simplify:
(w2)3 m2m3
(w2)3 m2m3
a)
w5m6
b)
w6m5
c)
w6m6
d)
w5m5
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