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  • If a and b are positive integers and (a^1/2 * b^1/3)^6=432,what is the value of ab?

    If a and b are positive integers and (a^1/2 * b^1/3)^6=432,what is the value of ab?
    Thanks for explaining it well!How to do it?
    英語人氣:235 ℃時間:2020-03-19 13:48:43
    優(yōu)質(zhì)解答
    Best Answer
    [a^(1/2) * b^(1/3)]^6 = 432
    a^(6/2) * b^(6/3) = 432
    a^3 * b^2 = 432
    432 = 27 * 16 = 3^3 * 4^2
    So a = 3 and b = 4
    Thus ab = 3*4 = 12
    3 months ago
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