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MathNet 2014 Question 82

Math Olympiad Vault · MathNet 2014

Question 82

a) $\left(\frac{1}{2}\right)^3 + \left(\frac{2}{3}\right)^3 + \left(\frac{5}{6}\right)^3 = 1$;
b) $3^{33} + 4^{33} + 5^{33} \lt 6^{33}$.