If (57)−12×(14125)−12=(xy)−12\left(\frac{5}{7}\right)^{-12} \times \left(\frac{14}{125}\right)^{-12} = \left(\frac{x}{y}\right)^{-12}…

Mathematics

Problem

If (57)−12×(14125)−12=(xy)−12\left(\frac{5}{7}\right)^{-12} \times \left(\frac{14}{125}\right)^{-12} = \left(\frac{x}{y}\right)^{-12} , then find the value of yx\frac{y}{x} . (A) 325\frac{3}{25} (B) 252\frac{25}{2} (C) 225\frac{2}{25} (D) 2514\frac{25}{14}

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