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What is the remainder when 5 to the 999,999th power is divided by 8?

 Apr 4, 2022
 #1
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It is the same as taking 5 to the power one 9:

 

5^9==1,953,125 mod 8 == 5 - the remainder.

 Apr 4, 2022
 #2
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Whenever you have 5 to an odd number exponent and divide this value by 8, your remainder is 5.

 

Whenever you have 5 to an even number exponent and divide this value by 8, your remainder is 1.

 Apr 4, 2022

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