An algebra problem by Jason Chrysoprase

Algebra Level 2

\[\sqrt{\dfrac{5a^2c-4c^2e+e^3}{5b^2d-4d^2f+f^3}}\]

If \(\dfrac{a}{b} = \dfrac{c}{d} = \dfrac{e}{f} = 64 \), find value of the expression above.

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