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15 May, 09:45

What is 81 to the power of - 1/4?

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  1. 15 May, 09:58
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    81^ (-1/4) is the same as the fourth root of (1/81). Which can be written as 4th root of 1 divided by the 4th root of 81.

    The 4th root of 1 is 1 (because 1x1x1x1x1=1).

    The 4th root of 81 is 3 (because 3x3x3x3=81).

    So 81^ (-1/4) = 1/3
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