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WorksheetsExponents
Total questions: 73
Worksheet time: 18hrs 15mins
Name
Class
Date
1.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
2.
Which is GREATER?
27 or 72
27 or 72
a)
27
b)
72
c)
Neither, they are equal
3.
What is nine cubed in exponential form?
a)
9 x 9 x 9
b)
93
4.
A scientist reports that a bacteria culture contains 34 bacteria. How many bacteria is that?
a)
12
b)
81
c)
7
d)
95
5.
54 =
a)
20
b)
625
c)
1024
6.
Find the equivalent expression.
9 x 9 x 9 x 9 x 9
9 x 9 x 9 x 9 x 9
a)
95
b)
915
c)
9 x 5
d)
9 + 9 + 9 + 9+ 9
7.
How would you say this in exponential form?
6 x 6 x 6 x 6 x 6 x 6 x 6
6 x 6 x 6 x 6 x 6 x 6 x 6
a)
6 to the 7th power
b)
6 to the 8th power
c)
7 to the 9th power
d)
10 to the 5th power
8.
25 is the same as 2 x 5.
a)
True
b)
False
9.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
10.
Choose the answer.
52
52
a)
10
b)
15
c)
20
d)
25
11.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
12.
20 x 20 x 20 in exponential form is
a)
20 x 3
b)
203
c)
320
13.
Which number is the VALUE?
24
24
a)
2
b)
4
c)
16
14.
What is the value of 71 ?
a)
1
b)
7
c)
0
d)
14
15.
How do you say 43 ?
a)
4 squared
b)
3 quadrupled
c)
4 cubed
d)
4 to the power of 2
16.
52 , in this example 2 is the _____________
a)
base
b)
exponent
17.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
18.
50, 30, 250 and 180 are all equal to
a)
0
b)
1
c)
itself
d)
negative
19.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
20.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
21.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
22.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
23.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
24.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
25.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
26.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
27.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
28.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
29.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
30.
x0
a)
x
b)
0
c)
1
d)
Undefined
31.
x5y3 / xy2
a)
x4y
b)
x2y
c)
x4y2
d)
x6y5
32.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
33.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
34.
3-3
a)
27
b)
-9
c)
-1/9
d)
1/27
35.
6x5y2 / 2x4y2
a)
3xy
b)
4x
c)
3x
d)
4xy
36.
Simplify (3x4y5)2
a)
9x8y10
b)
6x8y10
c)
3x8y10
d)
x8y10
37.
(x8)(x-5)
a)
x-40
b)
x-13
c)
x13
d)
x3
38.
Simplify the expression.
x3x6
x3x6
a)
x9
b)
x3
c)
x18
d)
x36
39.
Simplify the expression.
(xy)7
(xy)7
a)
x7y7
b)
xy7
c)
xy14
d)
x7/y7
40.
Simplify the expression.
a10b6*a2b11
a10b6*a2b11
a)
a12b17
b)
a12/b17
c)
a8b5
d)
a8/b5
41.
Simplify the expression.
(m8k3)/(m6k2)
(m8k3)/(m6k2)
a)
m2k
b)
1/(m2k)
c)
m2/k
d)
k/m2
42.
Simplify the expression.
1/w-5
1/w-5
a)
1/w5
b)
w5
c)
w-5
d)
1/w-5
43.
Simplify the expression.
(4ab)2
(4ab)2
a)
4a2b2
b)
8a2b2
c)
16a2b2
d)
4ab2
44.
Simplify the expression.
(2mp)3
(2mp)3
a)
2mp3
b)
2m3p3
c)
6m3p3
d)
8m3p3
45.
Simplify the expression.
a5/b-3
a5/b-3
a)
a5/b3
b)
a5b3
c)
b3/a5
d)
a5b-3
46.
40y14 / 10y8
a)
4y6
b)
4y22
c)
30y6
d)
30y22
47.
4.) Simplify
(16x4y-5)/(8a3b-8)
(16x4y-5)/(8a3b-8)
a)
(a3y5)/(2x4b8)
b)
(2x4b8)/(a3y5)
c)
(8x4b8)/(a3y5)
d)
2x4b8a3y5
48.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
49.
Make this negative exponent positive.
9-3
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
50.
Without a calculator, evaluate:
13,412 =
13,412 =
a)
3,412
b)
3,411
c)
0
d)
1
51.
Simplify (24)(25)
a)
220
b)
49
c)
420
d)
29
52.
Is the equation linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
53.
What happens when I have a negative exponent in the numerator?
a)
I keep it as-is
b)
Move to the denominator
c)
Move to the numerator
d)
Take the square root
54.
Simplify
4-2
4-2
a)
1/16
b)
16
c)
1/4-2
d)
8
55.
Simplify the expression.
x4 ⋅ x12
x4 ⋅ x12
a)
x3
b)
x48
c)
x16
d)
x8
56.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
57.
Simplify
a)
5c² ∕ d⁴
b)
25c² ∕ d⁴
c)
5c² ∕ d²
d)
joe
58.
Can you leave a negative exponent in your answer?
a)
YES
b)
NO
59.
(m-8)-3
a)
m24
b)
1/m24
c)
m-24
d)
1/m-24
60.
What is anything to the zero power?
a)
1
b)
The number being raised to zero
c)
0
d)
Can't take a number to the zero power
61.
111
a)
11
b)
1
c)
0
d)
111
62.
Simplify.
5x0
a)
5
b)
1
c)
0
d)
50
63.
Simplify.
(b3)8
(b3)8
a)
b11
b)
8b3
c)
b24
d)
24b
64.
Simplify.
43⋅47
43⋅47
a)
411
b)
1610
c)
421
d)
410
65.
a)
b6
b)
b7
c)
b1
d)
b-6
66.
a)
a2
b)
a-2
c)
1/a2
d)
a6
67.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
68.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
69.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
70.
Simplify: (3x2)3
a)
27x6
b)
9x6
c)
3x6
d)
9x5
71.
Solve for n:
2-2n = 26
2-2n = 26
a)
n = -1
b)
n = -7
c)
n = 5
d)
n = -3
72.
Solve for x: 13x+5=1310
a)
x = 5
b)
x = 15
c)
x = 2
d)
x = 13
73.
simplify
a)
b)
c)
d)
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