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Discussion :: Surds and Indices

  1. (25)7.5 x (5)2.5 Ã· (125)1.5 = 5?

  2. A.

    8.5

    B.

    13

    C.

    16

    D.

    17.5

    E.

    None of these

    View Answer

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    Answer : Option B

    Explanation :

    Let (25)7.5 x (5)2.5 Ã· (125)1.5 = 5x.

     Then,(52)*(5)2.5/(5^3)^1.5=5X

      \(\frac { 5(2*7.5)*5^2.5} { 5(3*1.5) } =5^X\)

     5x = 5(15 + 2.5 - 4.5)

     5x = 513

     x = 13.


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