# Binomial Coeffieients

**Discrete Mathematics**Level 4

\[ \large \displaystyle\sum_{i=0}^{264}(-1)^{i}\binom {529}{2i} \]

If the value of the summation above is in the form \(a^b\), where \(a\) and \(b\) are positive integers with \(a\) is minimized, enter \(a+b\).

**Notation**: \( \binom MN \) denotes the binomial coefficient, \( \binom MN = \frac{M!}{N!(M-N)!} \).