Evaluate 5x( cube root of x^2y)+2( cube root of x^5y)

$5 x (\sqrt[3]{x^{2} y}) + 2 (\sqrt[3]{x^{5} y})$

Simplify each term.

Rewrite $x^{5} y$ as $x^{3} (x^{2} y)$ .

Factor out $x^{3}$ .

$5 x (\sqrt[3]{x^{2} y}) + 2 \sqrt[3]{x^{3} x^{2} y}$

Add parentheses.

$5 x (\sqrt[3]{x^{2} y}) + 2 \sqrt[3]{x^{3} (x^{2} y)}$

Pull terms out from under the radical.

$5 x (\sqrt[3]{x^{2} y}) + 2 x \sqrt[3]{x^{2} y}$

Add $5 x (\sqrt[3]{x^{2} y})$ and $2 x \sqrt[3]{x^{2} y}$ .

$7 x \sqrt[3]{x^{2} y}$