Simplify (54m^6n^4)/(3m^2n)-10m^4n^3

$\frac{54 m^{6} n^{4}}{3 m^{2} n} - 10 m^{4} n^{3}$

Simplify each term.

Cancel the common factor of $54$ and $3$ .

Factor $3$ out of $54 m^{6} n^{4}$ .

$\frac{3 (18 m^{6} n^{4})}{3 m^{2} n} - 10 m^{4} n^{3}$

Cancel the common factors.

Factor $3$ out of $3 m^{2} n$ .

$\frac{3 (18 m^{6} n^{4})}{3 (m^{2} n)} - 10 m^{4} n^{3}$

Cancel the common factor.

$\frac{3 (18 m^{6} n^{4})}{3 (m^{2} n)} - 10 m^{4} n^{3}$

Rewrite the expression.

$\frac{18 m^{6} n^{4}}{m^{2} n} - 10 m^{4} n^{3}$

Cancel the common factor of $m^{6}$ and $m^{2}$ .

Factor $m^{2}$ out of $18 m^{6} n^{4}$ .

$\frac{m^{2} (18 m^{4} n^{4})}{m^{2} n} - 10 m^{4} n^{3}$

Cancel the common factors.

Factor $m^{2}$ out of $m^{2} n$ .

$\frac{m^{2} (18 m^{4} n^{4})}{m^{2} (n)} - 10 m^{4} n^{3}$

Cancel the common factor.

$\frac{m^{2} (18 m^{4} n^{4})}{m^{2} n} - 10 m^{4} n^{3}$

Rewrite the expression.

$\frac{18 m^{4} n^{4}}{n} - 10 m^{4} n^{3}$

Cancel the common factor of $n^{4}$ and $n$ .

Factor $n$ out of $18 m^{4} n^{4}$ .

$\frac{n (18 m^{4} n^{3})}{n} - 10 m^{4} n^{3}$

Cancel the common factors.

Raise $n$ to the power of $1$ .

$\frac{n (18 m^{4} n^{3})}{n^{1}} - 10 m^{4} n^{3}$

Factor $n$ out of $n^{1}$ .

$\frac{n (18 m^{4} n^{3})}{n \cdot 1} - 10 m^{4} n^{3}$

Cancel the common factor.

$\frac{n (18 m^{4} n^{3})}{n \cdot 1} - 10 m^{4} n^{3}$

Rewrite the expression.

$\frac{18 m^{4} n^{3}}{1} - 10 m^{4} n^{3}$

Divide $18 m^{4} n^{3}$ by $1$ .

$18 m^{4} n^{3} - 10 m^{4} n^{3}$

Subtract $10 m^{4} n^{3}$ from $18 m^{4} n^{3}$ .

$8 m^{4} n^{3}$