Power Inequality for Exponents

Show that $(x^{m} + y^{m})^{n} < (x^{n} + y^{n})^{m}$ , if $m > n$ , assuming $x$ and $y$ are positive and distinct.

~15 minProof · checked by AIExponentsInequalitiesFunctions

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIX. Inequalities, Examples XIX.b, No. 15

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