Question:
If \(x^y = y^x\) then \(\left(\frac{x}{y}\right)^{x/y}\) is
If \(x^y = y^x\) then \(\left(\frac{x}{y}\right)^{x/y}\) is
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Always simplify expressions carefully when given relationships between exponents.
Updated On: Apr 25, 2025
- \(x(y/y)\)
- \(\left(\frac{x}{y}\right)^{y/x}\)
- \(x^{(x+1)}\)
- \(y^y\)
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The Correct Option is B
Solution and Explanation
From the given equation \(x^y = y^x\), we find that the simplified expression for \(\left(\frac{x}{y}\right)^{x/y}\) simplifies to \(\left(\frac{x}{y}\right)^{y/x}\).
Thus, the correct answer is \(\left(\frac{x}{y}\right)^{y/x}\).
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