Do not calculate the square of 4 + 4 + the third power of 4 +. 4 the number of 50 power

Do not calculate the square of 4 + 4 + the third power of 4 +. 4 the number of 50 power

Four, the number is four
4 Λ 2, the digits are 6
4 ∧ 3 the digits are 4
4 ∧ 4, the digits are 6
4 ∧ 5 the digits are 4
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4 ∧ 50, each digit is 6
The square of 4 + 4 + the third power of 4 +. 4 the number of the fiftieth power is 0

Do not calculate the square of 4 + 4 + 3 power of 4 + 50 power of 4
Please write clearly the process of solving the problem

Single digit: 4 + 6 + 4 + 6 + + +4+6=0
The single digit of 4 is 4
The square of 4 is 6
The cubic single digit of 4 is 4
4 is 6
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thus it can be seen

Don't calculate the number of the second power of 4 + 4 + the third power of 4 +... + the 50th power of 4

The single digit of the power of 4 is: 4
The single digit of the quadratic power of 4 is 6
The single digit of the third power of 4 is 4
The single digit of the fourth power of 4 is 6
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The quadratic power of 4 + 4 + the cubic power of 4 +... + the 50th power of 4 has 50 terms, which is even, so the sum of mantissa is 4 * 25 + 6 * 25 = 250
So the mantissa must be zero