Question

1. $-sqrt3{2x^{2}y^{2}}cdot2sqrt3{15x^{5}y}$

Explanation:

Step1: Multiply coefficients

$-1 \cdot 2 = -2$

Step2: Multiply radicands

$\sqrt[3]{2x^2y^2 \cdot 15x^5y} = \sqrt[3]{30x^7y^3}$

Step3: Simplify cube root

$\sqrt[3]{30x^7y^3} = x^2y\sqrt[3]{30x}$

Step4: Combine results

$-2 \cdot x^2y\sqrt[3]{30x} = -2x^2y\sqrt[3]{30x}$

Answer:

$-2x^2y\sqrt[3]{30x}$