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6 June, 07:19

Write (27a^-6) ^-2/3 in simplest form.

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  1. 6 June, 09:31
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    Let be A = (27a^ - 6) ^-2/3 = (27a^ - 6) ^ - 2/3 = (27) ^ - 2/3) (a^ - 6) ^ - 2/3

    = (a^4) / (27) ^2/3, but 27 = 3^3, so (27) ^ 2/3 = (3^3) ^2/3=3^2=9

    finally A = (a^4) / 9
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