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2 years ago

When the following fraction is reduced, what will be the exponent on the m? 27mn^3/56m^6n

Mathematics

2 answers:

Oksi-84 [34.3K]2 years ago

5 0

From my research the answer for this question is 5

Thepotemich [5.8K]2 years ago

3 0

Answer:

The exponent of m is -5

Step-by-step explanation:

$\frac{27mn^{3} }{56m^{6}n } = \frac{27n^{2} }{56m^{5} }$

The first step is to check if the coeeficient is in its simplest form. It is because the lowest common multiple of 27 and 56 is 1.

The second step is to subtract the exponents of identical variable/numbers with the same base. for n it is 3 minus 1 = 2. For m it is 1 - 6 = -5

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Pepsi [2]

Answer:

Step-by-step explanation:

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With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:

$5x - 2y = -6$

$-2y = -5x - 6$

$y = \frac{5}{2}x + 3$

We now know that $m = \frac{5}{2}$ for the first line, which means that the slope of the second line is $m = \frac{-2}{5}$ . With this, we have the following equation for our new line:

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where $C$ is the Y-intercept that we now need to determine with the coordinates given in the problem statement, $(5, -4)$ :

$y = \frac{-2}{5}x + C$

$(-4) = \frac{-2}{5}(5) + C$

$-4 = -2 + C$

$C = -2$

Finally, we can create our line:

$y = \frac{-2}{5}x - 2$

$5y = -2x - 10$

$2x + 5y = -10$

8 0

3 years ago

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