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20 February, 14:58

If x^ (3/5) = 1.84, then x^2 = ?

A.) - 10.40

B.) - 3.74

C.) 7.63

D.) 10.40

E.) 21.15

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Answers (1)
  1. 20 February, 15:18
    0
    X^ (3/5) = 1.84

    x^ (3/5) = (1.84)

    Raise both sides of the equation to (5/3).

    This is so that on the side with x, 3/5 * 5/3 = 1.

    (x^3/5) ^5/3 = (1.84) ^ (5/3)

    x^ (3/5 * 5/3) = 1.84^ (5/3)

    x^1 = 1.84^ (5/3)

    x = 1.84^ (5/3)

    But remember we are solving for x^2.

    x = 1.84^ (5/3)

    x^2 = (1.84^ (5/3)) ^2

    x^2 = 1.84^ (5/3 * 2)

    x^2 = 1.84^ (10/3)

    Use a calculator here.

    x^2 = 1.84^ (10/3) ≈ 7.63

    Option C.

    Cheers!
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