If a, b, and c are positive integers such that a^b = x and c^b = y, then xy = ?

Discussion in 'Calculator Requests' started by math_celebrity, Aug 29, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If a, b, and c are positive integers such that a^b = x and c^b = y, then xy = ?

    A) ac^b
    B) ac^2b
    C) (ac)^b
    D) (ac)^2b
    E) (ac)^b^2

    xy = a^b * c^b

    We can use the Power of a Product Rule
    a^b * c^b = (ac)^b

    Therefore:
    xy = (ac)^b - Answer C
     

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