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First, I solve the equation: 5^7+5^6...
I got 93750
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The divisibility rules of 6 are:
So, let's check if 93750 is divisible by 2 first.
It's in even number which automatically means that it is divisible by 2.
No odd numbers are divisible by 2
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Now let's check if it is divisible by 3 second.
The divisibility rules of 3 are:
So, 9 + 3 + 7 + 5 + 0 = 17
17 is NOT divisible by 3.
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Therefore, your equation is not divisible by 6!