Simplify (x^3y^3*x^3)/(4x^2)

$\frac{x^{3} y^{3} \cdot x^{3}}{4 x^{2}}$

Step 1

Multiply $x^{3}$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

$\frac{x^{3} x^{3} y^{3}}{4 x^{2}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{x^{3 + 3} y^{3}}{4 x^{2}}$

Add $3$ and $3$ .

$\frac{x^{6} y^{3}}{4 x^{2}}$

Step 2

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

Factor $x^{2}$ out of $x^{6} y^{3}$ .

$\frac{x^{2} (x^{4} y^{3})}{4 x^{2}}$

Cancel the common factors.

Factor $x^{2}$ out of $4 x^{2}$ .

$\frac{x^{2} (x^{4} y^{3})}{x^{2} \cdot 4}$

Cancel the common factor.

$\frac{x^{2} (x^{4} y^{3})}{x^{2} \cdot 4}$

Rewrite the expression.

$\frac{x^{4} y^{3}}{4}$