Answer :

sqdancefan

Explanation:

We can simplify the expression and see if it has a factor of 24. It does.

  9^6 -3^10 = (3^2)^6 -3^10

  = 3^12 -3^10 = 3^10(3^2 -1)

  = 8×3^10

  = (24)(3^9) . . . . a number divisible by 24

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