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15 August, 09:53

Rewrite the rational exponent as a radical by extending the properties of integer exponents. 2 to the 7 over 8 power, all over 2 to the 1 over 4 power

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  1. 15 August, 10:08
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    Recall the quotient rule of exponents: x^a/x^b = x^ (a-b)

    So

    2^ (7/8) / 2^ (1/4)

    =2^ (7/8-1/4)

    =2^ ((7-2) / 8)

    =2^ (5/8)

    =8 radical 2^5

    =8 radical (32)
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