Simplify 3x(2x^2)

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

Step 1

Rewrite using the commutative property of multiplication.

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

Step 2

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

Move $x^{2}$ .

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

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

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

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

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

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

Add $2$ and $1$ .

$3 \cdot 2 x^{3}$

Step 3

Multiply $3$ by $2$ .

$6 x^{3}$