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From the Community

No Ordinary Optimization Problem

Contributed by Riemann Soliven, 18, Philippines
Level 3 Calculus

Riemann Soliven

If \(a, b, c>0\) and \(a+b+c=1\), the minimum value of \((a+\frac{1}{a})^{10}+(b+\frac{1}{b})^{10}+(c+\frac{1}{c})^{10}\) can be expressed as \(\frac{10^{d}}{3^{e}}\) where \(d\) and \(e\) are positive integers. Find \(d+e\)