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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
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: