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Alona [7]
2 years ago
11

Which expression is equivalent to StartFraction (3 m Superscript negative 1 Baseline n squared) Superscript negative 4 Baseline

Over (2 m Superscript negative 2 Baseline n) cubed EndFraction?
Mathematics
2 answers:
koban [17]2 years ago
8 0

Answer:

3m^{10}n^{-11}

Step-by-step explanation:

Given the expression \frac{(3m^{-1}n^{2})^{-4}   }{(2m^{-2}n)^{3}  }, we will use laws of indices to get the equivalent expression as shown below;

According to one of the law of indices,

\frac{a^{m} }{a^{n} } = a^{m-n}  \ and\ (a^{m})^{n} = a^{mn}

\frac{(3m^{-1}n^{2})^{-4}   }{(2m^{-2}n)^{3}  }\\= \frac{3m^{4}n^{-8}   }{2m^{-6}n^{3}  }\\= 3m^{(4-(-6))} * n^{-8-3}\\ = 3m^{10}n^{-11}

This gives the required expression

jazz022 years ago
0 0

Which expression is equivalent to StartFraction (3 m Superscript negative 1 Baseline n squared) Superscript negative 4 Baseline Over (2 m Superscript negative 2 Baseline n) cubed EndFraction? Assume mc024-2.jpg.
2 m squared n Superscript 5
StartFraction 81 m squared n Superscript 5 Baseline Over 8 EndFraction
2 m squared n squared
StartFraction 81 m squared n squared Over 8 EndFraction

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Temka [501]

Answer:

x + 46

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define expression</u>

4(-8x + 5) - (-33x - 26)

<u>Step 2: Simplify</u>

  1. Distribute:                              -32x + 20 + 33x + 26
  2. Combine like terms (x):         x + 20 + 26
  3. Combine like terms (Z):         x + 46
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2 years ago
Please help me with this!! Number 6 is the problem
artcher [175]
The first two consecutive odd integers are 1 and 3.
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Plug in the values for base and height.
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8 0
3 years ago
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Aneli [31]

Answer:

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Step-by-step explanation:

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3 years ago
Given the polynomial 6x3 + 4x2 − 6x − 4, what is the value of the constant 'k' in the factored form? 6x3 + 4x2 − 6x − 4 = 2(x +
CaHeK987 [17]
First you graph it using a graphing calculator, you look at the table of values to find out one point in which y= 0. The first one that comes up is when x=1.
If you don't have a graphing calculator you can use trial and error by inputing some numbers into x until you get y= 0. 

Once you have an x value which makes y=0, you can start factorizing it. 
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Now you just substitute your factorized second bracket into your unfactorized second bracket to give you 2(3x+2)(x+1)(x-1).

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7 0
3 years ago
Read 2 more answers
Carla is arranging square patches of grass on her rectangular lawn her lawn is 10 yards wide and 3 and 1/2 yards long how many s
Paraphin [41]

Answer:

I don't know if this is correct but wouldn't it be 560?

Step-by-step explanation:

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