SOLUTION: I dont understand how to get the answers to 8^(5/3) and 27^(4/3)

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Question 14460: I dont understand how to get the answers to 8^(5/3) and 27^(4/3)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!

Fractional exponents:
8%5E%285%2F3%29 means: The 5 in the numerator of the exponent is "raise to the 5th power". The 3 in the denominator is "take the cube root". You can rewrite this as:
%288%5E%281%2F3%29%29%5E5 = 2%5E5+=+32 or:
%288%5E5%29%5E%281%2F3%29 = 32768%5E%281%2F3%29+=+32
Similarly with: 27%5E%284%2F3%29 Raise 27 to the 4th power, then take the cube root of the result, or vice versa.
%2827%5E4%29%5E%281%2F3%29 = 531441%5E%281%2F3%29+=+81 or:
%2827%5E%281%2F3%29%29%5E4 = 3%5E4+=+81