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

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

Multiply $x$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

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

Multiply $x^{2}$ by $x$ .

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

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

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

$\frac{2 x^{2 + 1} \cdot 3}{x^{2}}$

Add $2$ and $1$ .

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

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

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

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

Cancel the common factors.

Multiply by $1$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{2 x \cdot 3}{1}$

Divide $2 x \cdot 3$ by $1$ .

$2 x \cdot 3$

Multiply $3$ by $2$ .

$6 x$