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Bai nay minh ap dung cong thuc nhu sau
So co tan cung la 3,7,9khi nang len luy thua bac 4 co tan cung la 1
So co tan cung la 1,0,5,6khi nang len luy thua bac n( nkhac 0)co tan cung la 1,0,5,6
3^1001=3^1000.3=(3^4)^500.3=(....1)^500.3=…1.3=…3 (1)
7^1002=7^1000.7^2=(7^4)^500.49=…1^500.49=…1.49=...9 (2)
13^1003=13^1000.13^3=(13^4)^500.2197=…1^500.2197=…1.2197=…9 (3)
Tu 1, 2va 3 suy ra tang cung cua b la:3.9.9=243
Vay tan cung cua b la so 3
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31001 = 34..250+1= (34)250 . 3 = ...1 . 3 = ...3
71002 = 74.250+2 = (74)250 . 72 = ...1 . ...9 = ..9
131003 = 134.520+3 = (134)250 . 133 = ...1 . ...7 = ...7
vậy chữ số tân cùng của b là ...3 . ...9 . ..7 = ..3
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31001.71002.131003
= 31000.3.71000.72.131000.133
= (34)250.3.(74)250.49.(134)250.(...7)
= (...1)250.3.(...1)250.49.(...1)150.(...7)
= (...1).3.(...1).49.(...1).(...7)
= (...9)
31001.71002.131003
= 31000.3.71000.72.131000.133
= (34)250.3.(74)250.49.(134)250.(...7)
= (...1)250.3.(...1)250.49.(...1)150.(...7)
= (...1).3.(...1).49.(...1).(...7)
= (...9)
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