Find the last digit of 4^2081 no calculator | MathCelebrity Forum

Find the last digit of 4^2081 no calculator

math_celebrity

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Find the last digit of 4^2081 no calculator

4^1= 4
4^2 = 16
4^3 = 64
4^4 = 256
4^5 = 1024
4^6 = 4096

Notice this pattern alternates between odd exponent powers with the result ending in 4 and even exponent powers with the result ending in 6.

Since 2081 is odd, the answer is 4.

 
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