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Q. If \( x = 2, y = 4 \), find
\( \left(\frac{x}{y}\right)^{x-y} + \left(\frac{y}{x}\right)^{y-x} \)
(a) 4 (b) 8 (c) 12 (d) 2
✏️ Solution
\( \left(\frac{2}{4}\right)^{2-4} + \left(\frac{4}{2}\right)^{4-2} \)
\( = \left(\frac{1}{2}\right)^{-2} + (2)^2 \)
\( = 2^2 + 4 \)
\( = 4 + 4 \)
\( = 8 \)
Correct Option: (b) 8
\( \boxed{8} \)