Simplify x^3*2x

$x^{3} \cdot 2 x$

Rewrite using the commutative property of multiplication.

$2 x^{3} x$

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

Move $x$ .

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

Multiply $x$ by $x^{3}$ .

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

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

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

$2 x^{1 + 3}$

Add $1$ and $3$ .

$2 x^{4}$