Answer
$y\sqrt[3]x$
Work Step by Step
Simplify. $\sqrt[9]{x^3y^{9}}$
Since, the power raised to a same exponent or base gets subtract when they are divide and the power raised to a each base gets add.
As per definition of square root property,we have $(p)^{\frac{m}{n}}=(\sqrt[n] {p})^m$
Thus, the given radical term can be written as:
$\sqrt[9]{x^3y^{9}}=\sqrt[9]{x^3}\sqrt[9]{y^{9}}$
or,$=x^{\frac{3}{9}}y^{\frac{9}{9}}$
or, $=x^\frac{1}{3}y$
Hence, $=y\sqrt[3]x$
