x5 - 1024 = (x - 4)(x4 + 4x3 + 16x2 + 64x + 256)
(x - 1)(x4 + x3 + x2 + x + 1)
1024
4 to the 5th power is 45, which is 4x4x4x4x4, which equals 1024.
4^5 = 1024
It means: -45 = -1024
1024 is the standard notation for 45.
Apply Euclid's Division Lemma(or in simple words Division Algorithm) to 1024 and 181: 1024 = 181 x 5 + 119 181 goes 5 times into 1024 with remainder 119. It means if we subtract 1024 from the 6th multiple of 181 then we get the required which is to be added to 1024. Way of obtaining 6th multiple: (This method is useful when we deal with large numbers!) If we subtract 119 from 1024 then we get 5th multiple of 181. 1024 - 119 = 905. And on adding 181 to 905 we get the 6th multiple of 181. 181 + 905 = 1086. And 1086 - 1024 = 64 is the required number.
It is the 15th power.
1005 = 10,000,000,000
-65(10) = 808,281,277,464,764,060,643,139,600,456,536,293,376
Any prime number to the 5th power squared has 11 factors, like 1024 or 59049.
1) 1 (5th root is 1)2) 32 (5th root is 2)3) 243 (5th root is 3)4) 1024 (5th root is 4)5) 3125 (5th root is 5)