Simplify (5^43^3)/(5^23^2)

$\frac{5^{4} \cdot 3^{3}}{5^{2} \cdot 3^{2}}$

Cancel the common factor of $5^{4}$ and $5^{2}$ .

Factor $5^{2}$ out of $5^{4} \cdot 3^{3}$ .

$\frac{5^{2} (5^{2} \cdot 3^{3})}{5^{2} \cdot 3^{2}}$

Cancel the common factors.

Factor $5^{2}$ out of $5^{2} \cdot 3^{2}$ .

$\frac{5^{2} (5^{2} \cdot 3^{3})}{5^{2} (3^{2})}$

Cancel the common factor.

$\frac{5^{2} (5^{2} \cdot 3^{3})}{5^{2} \cdot 3^{2}}$

Rewrite the expression.

$\frac{5^{2} \cdot 3^{3}}{3^{2}}$

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

Factor $3^{2}$ out of $5^{2} \cdot 3^{3}$ .

$\frac{3^{2} (5^{2} \cdot 3)}{3^{2}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{3^{2} (5^{2} \cdot 3)}{3^{2} \cdot 1}$

Cancel the common factor.

$\frac{3^{2} (5^{2} \cdot 3)}{3^{2} \cdot 1}$

Rewrite the expression.

$\frac{5^{2} \cdot 3}{1}$

Divide $5^{2} \cdot 3$ by $1$ .

$5^{2} \cdot 3$

Simplify the expression.

Raise $5$ to the power of $2$ .

$25 \cdot 3$

Multiply $25$ by $3$ .

$75$

Simplify (5^4*3^3)/(5^2*3^2)