If ` a/b = c/d = e/f `, then show that each ratio ` = ((la^(n) + mc^(n) + pe^(n))/(lb^(n

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If ` a/b = c/d = e/f `, then show that each ratio ` = ((la^(n) + mc^(n) + pe^(n))/(lb^(n) + md^(n)+pf^(n)))^(1/n)`.
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