# SOLUTION: 32x^6y^9/z^8 all under a third root sign

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 Question 276413: 32x^6y^9/z^8 all under a third root signAnswer by jsmallt9(3296)   (Show Source): You can put this solution on YOUR website! Simplifying a cube root involves finding perfect cubes. Since there is a denominator we will also want to rationalize the denominator. I'm going to make the denominator a perfect cube at the start. This will take care of the rationalizing denomiinator before we start. Since any exponent that is divisible by 3 is a perfect cube, all I need to do is change to : which simplifies to: Now we can start finding perfect cubes: Using the properties of radicals we can separate out all the perfect cubes: Replacing the cube roots of the perfect cubes we get: Rearranging the factors in the numerator and combining the remaining radicals we get: