Question 242356
3rd root of 270*t^8 
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Factor 270t^8 into a perfect cube and another factor
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270t^8 = (27t^6)*(10t^2)
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Take the 3rd root of each of those factors to get the answer:
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= (3t^2)*3rd rt of (10t^2)
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That is as much simplifying as you can do.
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Cheers,
Stan H.