Algebra 7.1 - Multiplication Properties of Exponents
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Last updated 2:24 PM on 9/20/22
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63 Terms
1
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Yes; 11 is a real number and an example of a constant.
Is it a monomial? 11
2
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No; this is the difference, not the product, of two variables.
Is it a monomial? a - b
3
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No; this is the quotient, not the product, of two variables.
Is it a monomial? p²/r²
4
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Yes; single variables are monomials.
Is it a monomial? y
5
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Yes; this is the product of two variables.
Is it a monomial? j³k
6
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No; this is the sum of two monomials.
Is it a monomial? 2a + 3b
7
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x¹¹
Simplify x²(x³)(x⁶)
8
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x¹⁰
Simplify x(x²)(x⁷)
9
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y³z³
Simplify (y²z)(yz²)
10
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y⁵z³
Simplify (y²z²)(y³z)
11
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a⁴b⁸
Simplify (a²b⁴)(a²b⁴)
12
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a⁴b⁴
Simplify (ab²)(a³b²)
13
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6x⁷
Simplify (2x²)(3x⁵)
14
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20x⁹
Simplify (5x⁷)(4x²)
15
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12x⁴y⁸
Simplify (4xy³)(3x³y⁵)
16
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7x⁷y⁵
Simplify (7x⁵y²)(x²y³)
17
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-15x¹¹
Simplify (-5x³)(3x⁸)
18
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8x⁵y²
Simplify (-2x⁴y)(-4xy)
19
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10⁶ or 1,000,000
Simplify (10²)³
20
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x³⁶
Simplify (x³)¹²
21
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x⁹
Simplify x⁴x⁵
22
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36x²
Simplify (-6x)²
23
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-27x³
(-3x)³
24
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9x²y⁴
(3xy²)²
25
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x¹¹
x²x⁵x⁴
26
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x⁸y⁸
x⁵y²x³y⁶
27
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64x³
(4x)(4x)(4x)
28
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24x³
(2x)(3x)(4x)
29
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30x³
(3x)(2x)(5x)
30
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x⁶
(x²)³
31
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x⁵
x²x³
32
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x⁷
x³x⁴
33
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x¹²
(x³)⁴
34
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x¹⁴
(x⁷)²
35
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x⁹
x⁷x²
36
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x¹¹
x⁵x⁶
37
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x³⁰
(x⁵)⁶
38
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x⁸
x³x⁵
39
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x¹⁵
(x³)⁵
40
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x¹⁰
x⁸x²
41
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x¹⁶
(x⁸)²
42
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4x⁶y⁸
(2x³y⁴)²
43
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x⁷
Find the area of a rectangle if the length is x² and the width is x⁵.
44
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x²y²
Find the area of a square if the side length is xy. A = s²
45
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18x⁴
Find the area of a triangle with base 9x³ and height 4x. A = ½bh
46
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No; this is the quotient, not the product, of two variables.
Is it a monomial? (21a²)/7b
47
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Yes; this is the product of the number 1/2 and two variables.
Is it a monomial? (b³c²)/2
48
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-15x⁶y
Simplify (-5x²y)(3x⁴)
49
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8a⁴b⁴c⁴
Simplify (2ab²c²)(4a³b²c²)
50
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-6x³y⁴
Simplify (3xy⁴)(-2x²)
51
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-8x⁸y
(4x³y)(-2x⁵)
52
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15x²y⁷
(-15xy⁴)(-xy³)
53
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-x⁴y³z
(-xy)³(xz)
54
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-8x⁵y⁴
(-4x²y)²(-½xy²)
55
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0.4x⁴y⁶
(0.2x²y³)²
56
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¼x²y⁶
(½xy³)²
57
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0.064x⁹
(0.4x³)³
58
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x⁸
[(x²)²]²
59
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x²⁴
[(x²)³]⁴
60
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18x³y⁶
Find the area of a rectangle whose length is 6x²y⁴ and width is 3xy². A = lw
61
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12x³y⁴
Find the area of a triangle whose base is 4x²y and height is 6xy³. A = ½bh
62
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27x⁶
Find the volume of a cube whose side length is 3x². V = s³
63
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x⁴y⁵
Find the volume of a rectangular prism whose side lengths are x³y, xy³, and y. V = lwh