Question

simplify the radical expression. $sqrt3{x^{6}y^{9}}$ write your answer in the form a, $sqrt3{b}$, constants or expressions in x and y. use at most one absolute value symbol in your answer, and at most one absolute value symbol

Explanation:

Step1: Split radical into factors

$\sqrt[3]{x^6 y^9} = \sqrt[3]{x^6} \cdot \sqrt[3]{y^9}$

Step2: Simplify each cube root

For $\sqrt[3]{x^6}$: $x^{\frac{6}{3}} = x^2$; For $\sqrt[3]{y^9}$: $y^{\frac{9}{3}} = y^3$

Step3: Multiply simplified terms

$x^2 \cdot y^3$

Answer:

$x^2 y^3$