Simplify 2x*(3x^2)

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

Step 1

Rewrite using the commutative property of multiplication.

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

Step 2

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

Move $x^{2}$ .

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

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

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

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

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

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

Add $2$ and $1$ .

$2 \cdot 3 x^{3}$

Step 3

Multiply $2$ by $3$ .

$6 x^{3}$