# 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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