# Anomalous Cancellation/Variants/3 + 25 + 38 over 7 + 20 + 39

## Theorem

$\dfrac {3 + 25 + 38} {7 + 20 + 39} = \dfrac {3^4 + 25^4 + 38^4} {7^4 + 20^4 + 39^4}$

## Proof

 $\displaystyle \dfrac {3^4 + 25^4 + 38^4} {7^4 + 20^4 + 39^4}$ $=$ $\displaystyle \dfrac {81 + 390625 + 2085136} {2401 + 160000 + 2313441}$ $\displaystyle$ $=$ $\displaystyle \dfrac {2475842} {2475842}$

 $\displaystyle \dfrac {3 + 25 + 38} {7 + 20 + 39}$ $=$ $\displaystyle \dfrac {66} {66}$ $\displaystyle$ $=$ $\displaystyle \dfrac {2475842} {2475842}$

$\blacksquare$