# Power Play

The smallest number $$n$$ greater than 1 such that $$\large \sqrt{n}$$, $$\large \sqrt[3]{n}$$, $$\large \sqrt[4]{n}$$, $$\large \sqrt[5]{n}$$, $$\large \sqrt[6]{n}$$, $$\large \sqrt[7]{n}$$, $$\large \sqrt[8]{n}$$, $$\large \sqrt[9]{n}$$, $$\large \sqrt[10]{n}$$ are all integers can be expressed in the form $$a^{b}$$, where $$a$$ and $$b$$ are both positive integers and with $$a$$ as small as possible.

Find $$a+b$$.

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