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i have to determine if the problem x to the 8th power minus 50 is the difference between to perfect square

(X) times (X) times (X) times (X) times (X) times (X) times (X) times (X) minus 50

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If you mean when is x8 - 50 the difference between two consecutive perfect squares, the answer is when it's a positive odd integer which is only the case when x is odd, greater than 1, and an integer.