Evaluating a Big Fraction

Algebra Level 4

Evaluate

\[ \frac {(8^4 + 64) ( 16^4 + 64)(24^4+64)(32^4+64)(40^4+64)(48^4 + 64)(56^4+64)(64^4+64) }
{ (4^4+64)(12^4+64)(20^4+64)(28^4+64)(36^4+64)(44^4+64)(52^4+64)(60^4+64) }. \]

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Details and Assumptions:

  • Make sure you scroll right (if necessary) to see the full fraction. The dot on the extreme right is a full stop (punctuation mark).
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