Which of the following is equivalent to 9^3/4?

Discussion in 'Calculator Requests' started by math_celebrity, Aug 28, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Which of the following is equivalent to 9^3/4?

    a) 9^1/3

    b) 9 ^ 1/4

    c) sqrt(3)

    d) 3 * sqrt(3)

    Since 9 is 3^2, we have 3^(3*2/4) which is 3^6/4

    Since 6/4 is 3/2, we have:
    3^(3/2)

    Since 3/2 is 1 + 1/2, we have:
    3^1*sqrt(3)
    3*sqrt(3) or option D.

     
    Last edited: Nov 12, 2023

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