All powers of 6 end in 6, just like all powers of 5 end in 5.
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To find the last digit of a number raised to a power, we can use the concept of modular arithmetic. The last digit of 333 to the power of 444 can be determined by finding the remainder when 333 is divided by 10, which is 3. Since the last digit of 333 is 3, we need to find the remainder of 444 divided by 4, which is 0. Therefore, the last digit of 333 to the power of 444 is the same as the last digit of 3 to the power of 4, which is 1.
6^30 = 2.21073919720733 x 10^23
Since there are only five different digits, a 6-digit number can only be generated if a digit can be repeated. If digits can be repeated, the smallest 6-digit number is 111111.
If the same digit can be used more than once: 6 x 6 x 6 = 216 of them. If each digit can be used only once: 6 x 5 x 4 = 120 of them.
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