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28 December, 05:11

Evaluate (16/81) to the power 3/4

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  1. 28 December, 05:26
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    This reduces nicely if you first notice that 16/81 = (2/3) ^4.

    Then use the properties of powers (of positive real numbers):

    (16/81) ^ (3/4) = ((2/3) ^4) ^ (3/4) = (2/3) ^3 = 8/27
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