Simplify this expression and show all steps: 48m^7/20m^4

(12/5)m^3

Step-by-step explanation:

It's easier for most of us to write out a fraction / ratio without the " / " symbol:

48m^7

20 m^4

Separate the coefficients from the powers of m:

48     m^7

*     Now let's reduce each fraction separately:

20      m^4

48/20 = 12/5, and

(m^7) / (m^4) = m^(7-4) = m^3

... so that our final answer is (12/5)m^3.