Simplify x^5y^2(2x^2)

$x^{5} y^{2} (2 x^{2})$

Rewrite using the commutative property of multiplication.

$2 x^{5} y^{2} x^{2}$

Multiply $x^{5}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$2 (x^{2} x^{5}) y^{2}$

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

$2 x^{2 + 5} y^{2}$

Add $2$ and $5$ .

$2 x^{7} y^{2}$