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Old November 17th, 2008, 07:44 AM
EyesForEars EyesForEars is offline
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(7/3)^{2/3} = (\sqrt[3]{7})^2/(\sqrt[3]{3})^2

note: the denominator in the origional exponent becomes the index in both numerator and denominator, and the numerator becomes the power to which result is raised in both numerator and denominator of the simplified expression.

(7/3)^{2/3} = (\sqrt[3]{7})^2/(\sqrt[3]{3})^2

= (1.91)^2/(1.44)^2
= 3.648/2.074
= 1.759 approx.
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