# Out of Nowhere?

$9^n + 28^n + 33^n + 71^n + 76^n + 95^n = A^n + B^n + C^n + D^n + E^n + F^n$

The equation above holds true for $$n = 0, 1, 2, 3, 4, 5$$ and distinct integers $$A$$, $$B$$, $$C$$, $$D$$, $$E$$, and $$F$$ that are different from any of the permutations of those on the LHS.

Find $$A\times B\times C \times D \times E \times F$$. You may use a calculator for the final step of your computation.

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