Can we use that?

Algebra Level 4

It is given that \(\displaystyle \sum_{n=1}^{\infty} \dfrac{1}{n^{4}} = \dfrac{\pi^{4}}{90}\) and the value of \(\displaystyle \sum_{n=1}^{\infty} \dfrac{1}{(2n-1)^{4}}\) can be represented as \(\dfrac{\pi^{a}}{b}\), find \(a+b\).

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