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Exponent ain't that tough

Algebra Level 3

\[ \large x + \frac1x = 5 \quad,\quad \dfrac{x^5 + \frac1{x^5}}{x^3 + \frac1{x^3}} = \ ? \]

\[\frac { 479 }{ 49 }\] \[\frac { 527 }{ 23 }\] \[\frac { 505 }{ 22 }\] \[\frac { 522 }{ 47 }\]

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by Sucharita Banerjee

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