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2 divided by 7 remainder 24 divided by 7 remainder 4
8 divided by 7 remainder 116 divided by 7 remainder 2
32 divided by 7 and 4
64 divided by 7 and 1
128 divided by 7 and 2
It can be seen that the nth power of 2 divided by 7 remainder is 2,4,1 cycle.
So 2 to the power of 100 divided by 7 remainder is 2
Tuesday is two days after Sunday.
The same goes for Thursday, which is Saturday.
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Today is Sunday, so what day of the week is 2 to the power of 100? Everyone knows that there are 7 days in a week, to solve this problem, we only need to know what is the remainder of 2 to the power of 100 divided by 7, assuming that the remainder is 1, because today is Sunday, then so many more days will be Monday; Assuming the remainder is 2, then after so many days it will be Tuesday; Assuming the remainder is 3, then it will be Wednesday in so many days. Therefore, we use the following practice to solve this problem.
First of all, by listing the equations on the left, we can draw the conclusion on the right: (1) 1 power of 2 = 0x7 + 2 Obviously, the 1 power of 2 is divided by 7, and the remainder is 2; (2) 2 to the 2nd power = 0x7 + 4, obviously the 2nd power of 2 is divided by 7, and the remainder is 4; (3) 2 to the 3rd power = 1x701 Obviously the remainder of 2 to the 3rd power divided by 7 is 1 (4) The remainder of 2 to the 4th power = 2x7 + 2 Obviously the 4th power of 2 is divided by 7 The remainder is 5) 2 to the 5th power = Obviously the 2nd power of 2 is divided by 7 The remainder is 6) 2 to the 6th power Obviously 2 to the 6th power is divided by 7 The remainder of 2 to the 7th power = Obviously the remainder of 2 to the power of 7 is divided by 7 Then a closer look at the law reflected in the results on the right side, we can guess that the remainder of 2 to the power of 100 divided by 7 is So after 2 to the 100th power the day will be the week
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Summary. Hello dear, I am a co-teacher, I am familiar with this industry, I am inquiring for you, please wait a while, I will reply to you <> immediately
Today is Wednesday, and what day of the week is 12 to the power of 100?
Hello dear, I am a co-teacher, I am familiar with this industry, I am inquiring for you, please wait a while, I will reply to you <> immediately
<>Why haven't you yet, is there something wrong with my operation?
Don't coax the money away!
Hello oh kiss Today is Wednesday, and the 100th power of 12 days is Tuesday
Process? It's not a guess, is it?
Here's how to calculate it, just divide it by 7 to the 100th power of 12 and add the remainder to today's week
The number is too big, and I'<>m sorry to release it
How do you calculate <>12 to the power of 100?
The key is to calculate 12 to the power of 100, how to calculate the number so big?
You can calculate it with a slightly more specialized computer, oh kiss <>
A computer that can play to the power of 100 can be counted
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(1) 3 to the 1st power, divided by 7 to the 2nd power of 3, 3 to the 2nd power, divided by 7 to the 3rd power of 2, 3 to the 3rd power, divided by 7 to the 4th power of 6, 3 to the 4th power, divided by 7 to the 5th power of 4, 3 to the 5th power, divided by 7 to the 6th power of 5, 3 to the 6th power, divided by 7 to the 7th power of 1, 3, divided by 7 to the 3rd, cycled....,100÷6=16…4, so today is Sunday, and after 3 100 days is Thursday.
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(a*b) remainder of c = (remainder of a c) * (remainder of b c) 5 100 = 25 50, divide by 7 remainder is 4 504 50 = 16 25, divide by 7 remainder is 2 252 25 = 32 5, divide by 7 remainder is 4 54 5 = 16*64, divide by 7 remainder is 2*1 = 2, so 5 100 divided by 7 remainder is 2, so Wednesday is Friday after 5 100 days.
Questions. The remainders obtained by dividing a natural number are a+5, a+1, and a, and find the value of this natural number and a.
This natural number 19 and a = 6
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Since the week is seven days.
Note: 8=7+1
Therefore 8 20 1 20 = 1 (mod 7).
Then the day when the manuscript after the 20th power of 8 was buried is the same as the day when the liquid hunger only passed the key leak for 1 day.
It's Mondays
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If it is a Sunday, then the day after the 20th power of 8 is still the day of the Potato Stupid Star Rock according to the date. The initial inference is that the interval you asked about was so long that it didn't change the day of the week. Please note that this calculation is based on the periodicity of the week of the week of 7 days.
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(1) The power of 2 = 0x7 + 2, obviously the power of 2 is divided by 7, and the remainder is 2; (2) 2 to the 2nd power = 0x7 + 4, obviously the 2nd power of 2 is divided by 7, and the remainder is 4; (3) 2 to the 3rd power = 1x701 obviously 2 to the 3rd power is divided by 7 and the remainder is 1 (4) 2 to the 4th power = 2x7 + 2 obviously the 4th power of 2 is divided by 7 The remainder is 2 (5) 2 to the 5th power = 4x7 + 4 Obviously the 2nd power of 2 is divided by 7 The remainder is 4 (6) 2 to the 6th power = 9x7 + 1 Obviously the 6th power of 2 is divided by 7 The remainder is 1 (7) 2 to the 7th power = 18x+2 Obviously the 7th power of 2 is divided by 7 The remainder is 2Then if we look closely at the law reflected in the results on the right, we can guess that the remainder of 2 to the power of 100 divided by 7 is 2, so the day to the power of 100 after 2 must be Tuesday ?
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100 7 = 14 (weeks)....2 (days);
The remainder is 2, and 2 more days from Tuesday are Thursday
A: 2 days later is Thursday
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3 100 7 = 14 surplus 2 Tuesday plus 2 weeks 4 but from today onwards it is 3 weeks
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100/7=14...2
That is, after 14 weeks and two days, counting two days from Tuesday, it is Thursday.
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2 100=(2 3) 33 2=8 33 2=2 (7+1) 33, because the remainder of (7+1) n divided by 7 is 1, so the remainder of 2 (7+1) 33 divided by 7 is 2, so the two days after Sunday are Tuesday and the two days after Thursday are Saturday.
The answers are Tuesday and Saturday, respectively.
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2^3=7+1
7m+1)(7n+1)=7(7mn+m+n)+12^100=2*(2^3)*(2^3)*.2^3)=2*(7k+1)=7*(2k)+2
If today is Thursday, it must be Saturday after 2 to the power of 100
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