# Sum Time!

Calculus Level 3

$\LARGE \frac{1-\frac{1}{8}+\frac{1}{27}-\frac{1}{64}+\frac{1}{125}-\frac{1}{216}+\cdots}{1+\frac{1}{8}+\frac{1}{27}+\frac{1}{64}+\frac{1}{125}+\frac{1}{216}+\cdots}$

If the ratio above can be written as $$\Large \frac{a}{b}$$ where $$\large a$$ and $$\large b$$ are coprime integers. Find $$\large a \times b$$.

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