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Alborosie
2 years ago
14

What is the simplified form of -24m^5 n^4/ 8m^-7 n^-2

Mathematics
1 answer:
solong [7]2 years ago
8 0

Answer:

  -3·m^12·n^6

Step-by-step explanation:

We assume you intend ...

  (-24·m^5·n^4)/(8·m^-7·n^-2)

  = (-24/8)·m^(5-(-7))·n^(4-(-2))

  = -3·m^12·n^6

_____

If you really intend what you have written, then it simplifies to ...

  (-24·m^5·n^4/8)·m^-7·n^-2 . . . . . note that all factors involving m and n are in the numerator

  = (-24/8)·m^(5-7)·n^(4-2) = -3n^2/m^2

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Answer:

n = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
  3. Exponents
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  5. Division
  6. Addition
  7. Subtraction
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Equality Properties

Step-by-step explanation:

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

6n + 7 = 55

<u>Step 2: Solve for </u><em><u>n</u></em>

  1. Subtract 7 on both sides:                    6n = 48
  2. Divide 6 on both sides:                       n = 8

<u>Step 3: Check</u>

<em>Plug in n into the original equation to verify it's a solution.</em>

  1. Substitute in <em>n</em>:                    6(8) + 7 = 55
  2. Multiply:                               48 + 7 = 55
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Here we see that 55 does indeed equal 55.

∴ n = 8 is a solution of the equation.

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Step-by-step explanation:

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