If 3x - y = 12, what is the value of 8^x/2^y

Discussion in 'Calculator Requests' started by math_celebrity, Jun 18, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If 3x - y = 12, what is the value of 8^x/2^y

    We know 8 = 2^3

    So using a rule of exponents, we have:
    (2^3)^x/2^y
    2^(3x)/2^y

    Using another rule of exponents, we rewrite this fraction as:
    2^(3x -y)

    We're given 3x - y = 12, so we have:
    2^12
     

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