Simplify (9^(3n)y^(m+4))/(9^(2n)y^m)

$\frac{9^{3 n} y^{m + 4}}{9^{2 n} y^{m}}$

Cancel the common factor of $9^{3 n}$ and $9^{2 n}$ .

Factor $9^{2 n}$ out of $9^{3 n} y^{m + 4}$ .

$\frac{9^{2 n} (9^{n} y^{m + 4})}{9^{2 n} y^{m}}$

Cancel the common factors.

Factor $9^{2 n}$ out of $9^{2 n} y^{m}$ .

$\frac{9^{2 n} (9^{n} y^{m + 4})}{9^{2 n} (y^{m})}$

Cancel the common factor.

$\frac{9^{2 n} (9^{n} y^{m + 4})}{9^{2 n} y^{m}}$

Rewrite the expression.

$\frac{9^{n} y^{m + 4}}{y^{m}}$

Cancel the common factor of $y^{m + 4}$ and $y^{m}$ .

Factor $y^{m}$ out of $9^{n} y^{m + 4}$ .

$\frac{y^{m} (9^{n} y^{4})}{y^{m}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{y^{m} (9^{n} y^{4})}{y^{m} \cdot 1}$

Cancel the common factor.

$\frac{y^{m} (9^{n} y^{4})}{y^{m} \cdot 1}$

Rewrite the expression.

$\frac{9^{n} y^{4}}{1}$

Divide $9^{n} y^{4}$ by $1$ .

$9^{n} y^{4}$

Reorder factors in $9^{n} y^{4}$ .

$y^{4} \cdot 9^{n}$