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WorksheetsExponents Review 1
Total questions: 60
Worksheet time: 3hrs 33mins
Name
Class
Date
1.
Simplify: x ∙ x ∙ x ∙ x ∙ x ∙ x
a)
x6
b)
6x
c)
x3
d)
6x6
2.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
3.
What is the exponent form for the factors
5 x 5 x 5?
5 x 5 x 5?
a)
35
b)
53
4.
When you multiply like bases, you ______ the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
5.
a)
58
b)
56
c)
52
d)
1
6.
2n4 * 5n4
a)
7n4
b)
10n16
c)
10n8
d)
none of the above
7.
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
8.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
9.
Which of the following properties is represented by the following equations?
(d2)19 = d38
(d2)19 = d38
a)
power of a product rule
b)
power of a quotient rule
c)
power of a power rule
d)
power of a quotient rule
10.
Which correctly defines the quotient rule?
a)
When dividing exponents, multiply the powers.
b)
When dividing exponents, add the powers.
c)
When dividing exponents, divide the powers.
d)
When dividing exponents, subtract the powers.
11.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
12.
When dividing exponential expressions with the same base, what always happens to the exponents?
a)
they are added together
b)
they are subtracted
c)
they are divided
d)
they are multiplied
13.
Simplify the expression.
x4 (x12)
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
14.
a)
116
b)
16
c)
1316
d)
136
15.
a)
2y24
b)
210
c)
2y10
d)
2y14
16.
a)
43
b)
415
c)
13
d)
115
17.
(72)3
Write your answer using only positive exponents.
a)
76
b)
7
c)
75
d)
493
18.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
19.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
20.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
21.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
22.
simplify:
( 5x3 )(2x2)
( 5x3 )(2x2)
a)
10x5
b)
3x
c)
10x6
d)
7x5
23.
Simplify:
(xy2)4
(xy2)4
a)
x4y2
b)
x4y8
c)
x3y2
d)
x5y6
24.
Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
25.
Simplify (2x4y7)3
a)
6x7y10
b)
6xy32
c)
8x12y21
d)
6xy21
26.
Simplify (3x3y)(2x8y5)
a)
5x11y6
b)
6x11y6
c)
6x24y5
d)
5x11y6
27.
Simplify (2x4y7)3
a)
6x7y10
b)
6xy32
c)
8x12y21
d)
8x7y10
28.
Simplify the expression.
x4 (x12)
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
29.
Simplify using the exponent rules
a)
b)
c)
d)
30.
Simplify.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
31.
(85)3
a)
88
b)
815
c)
82
d)
1/82
32.
(t-6)-5
a)
t-11
b)
t-30
c)
t30
d)
t11
33.
Simplify
(y³)⁵
(y³)⁵
a)
y¹⁵
b)
y⁸
c)
y⁻²
d)
y
34.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
35.
a)
7/ u3
b)
7u11
c)
7u1.75
d)
7u3
36.
(2x4y5)(-3x2y7)
a)
6x6y12
b)
-1x6y-2
c)
-6x2y2
d)
-6x6y12
37.
Simplify the expression.
(6x2)(-3x5)
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
38.
Simplify (-3x4y5)2
a)
9x8y10
b)
6x8y10
c)
3x8y10
d)
-9x8y10
39.
If (2x)5=215, what does x equal?
a)
x = 3
b)
x = 5
c)
x = 10
40.
[(-4)³]²
a)
(-4)⁶
b)
(-4)⁵
c)
(-4)
d)
(-4)⁻¹
41.
Simplify
a)
2b2
b)
2b6
c)
6b6
d)
8b6
42.
(2g5)3
a)
2g15
b)
2g8
c)
8g8
d)
8g15
43.
4c6⋅9ac5
a)
14ac11
b)
36ac11
c)
14ac30
d)
36ac30
44.
(3m2n)3
a)
27m6n3
b)
3m6n3
c)
9m5n4
d)
729m2n3
45.
What does the ( E )in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
46.
Name the exponent property: (5-3)2
a)
Power to power property (multiplying exponents)
b)
Product Property (adding exponents)
c)
Quotient Property (negative exponents)
d)
Zero power property (answer is always 1)
47.
What does the term "squared" mean?
a)
raised to the power of 3
b)
raised to the power of 4
c)
raised to the power of 2
48.
What does the term"cubed" mean?
a)
raised to the power of 2
b)
raised to the power of 3
c)
raised to the power of 4
49.
25 is the same as 2 x 5.
a)
True
b)
False
50.
Billy was asked to solve 35∙34. He got 920. What error did he make?
a)
When he multiplies exponents, he is supposed to add the base and the exponent
b)
When he multiplies exponents, he is supposed to multiply the base and keep the exponents
c)
When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same
d)
None of the above
51.
Apply the exponent rules
a)
b)
c)
d)
52.
Simplify: (3x4y5)2
a)
9x8y10
b)
6x8y10
c)
9x6y7
d)
6x6y7
53.
a)
8x4
b)
8x8
c)
6x4
d)
6x8
54.
Simplify the expression.
a)
9x3
b)
2x3
c)
2x4
d)
9x4
55.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
56.
Simplify. Express using exponents.
a)
3r10
b)
3r4
c)
3r6
d)
3r
57.
Simplify. Express using exponents.
a)
6y5
b)
9y5
c)
16y5
d)
9y6
58.
Simplify. Express using exponents.
a)
10w4
b)
-10w4
c)
10w3
d)
-10w3
59.
Simplify. Express using exponents.
a)
11m4n5
b)
16m4n6
c)
24m4n5
d)
24m4n6
60.
Simplify. Express using exponents.
a)
12x6y4
b)
12x10y6
c)
22x10y6
d)
12x6y6
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