what is the last digit of 444^444
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Answer:
4444444 is the correct answer
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Step-by-step explanation:
Successive powers of 444 cycle through 2 final digits - 4 and 6. The reason is that the final digit is always multiplied by 4, giving 4, 4x4 = (1)6, (1)6*4 = (6)4...and then you repeat. Since 444 is a multiple of 4, 1 is the final digit of 333^444. Since 333 is a multiple of 3, 4 is the final digit of 444^333.
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