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bagirrra123 [75]
3 years ago
13

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]3 years ago
5 0
From my research the answer for this question is 5
Thepotemich [5.8K]3 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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Does anyone know the answers to this algebra question? Will give brainiest
MaRussiya [10]
Option 1 : -22

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3 0
3 years ago
A man is five times as old as his son. Four years ago the man was thirteen times as old as his son.
skad [1K]

Answer:

Age of son = 6 years

Age of man = 5×6 = 30 years

Step-by-step explanation:

<u>GIVEN :-</u>

  • A man is 5 times as old as his son. (In Present)
  • 4 years ago , the man was 13 times as old as his son

<u>TO FIND :-</u>

  • The present ages of the man & his son.

<u>SOLUTION :-</u>

Let the present age of son be 'x'.

⇒ Present age of man = 5x

4 years ago ,

Age of son = (Present age of son) - 4 = x - 4

Age of man = (Present age of man) - 4 = 5x - 4

The man was thirteen times as old as his son. So,

=> 5x - 4 = 13(x - 4)

Now , solve the equation.

  • Open the brackets in R.H.S.

=> 5x - 4 = 13x - 52

  • Take 5x to R.H.S. and -52 to L.H.S. Also , take care of their signs because they are getting displaced from L.H.S. to R.H.S. or vice-versa.

=> 13x - 5x = 52 - 4

=> 8x = 48

  • Divide both the sides by 8

=> \frac{8x}{8} = \frac{48}{8}

=> x = 6

<u>CONCLUSION :-</u>

Age of son = 6 years

Age of man = 5×6 = 30 years

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