How would you simplify this? ³√(x^9 / 3y)

³√(x^9 / 3y)

³√x^9

---------- {took cube root of numerator over cube root of denominator}

³√3y

x³

-------- {evaluated cube root of x^9 to be x³ on top}

³√3y

x³ ³√9y²

----------------- {multiplied top and bottom by ³√9y², to eliminate radical in denominator}

³√3y ³√9y²

x³ ³√9y²

---------------- {multiplied in denominator}

³√27y³

³√x^9

---------- {took cube root of numerator over cube root of denominator}

³√3y

x³

-------- {evaluated cube root of x^9 to be x³ on top}

³√3y

x³ ³√9y²

----------------- {multiplied top and bottom by ³√9y², to eliminate radical in denominator}

³√3y ³√9y²

x³ ³√9y²

---------------- {multiplied in denominator}

³√27y³

**x³ ³√9y²**

--------------{evaluated cube root of 27y³ in denominator}--------------

**3y***© Algebra House*