Simplify x^2*2x^2

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

Rewrite using the commutative property of multiplication.

$2 x^{2} x^{2}$

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

Move $x^{2}$ .

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

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

$2 x^{2 + 2}$

Add $2$ and $2$ .

$2 x^{4}$