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If x : y = 2 : 3, and m : n= 9 : 4, find the ratio xn : ym.

If x : y = 2 : 3, and m : n= 9 : 4, find the ratio xn : ym. Correct Answer 8 : 27

x : y = 2 : 3 or,  x / y = 2 / 3 - - - - - - - - (i) Again,  m : n = 9 : 4 or,  m / n = 9 / 4 - - - - - - - (ii) Now, (i)/(ii) >>    (x/y) / (m/n) = (2/3) / (9/4) or,     xn / ym = 8 / 27 So,   xn : ym = 8 : 27

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