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Fourth power

In mathematics, the fourth powers are given by the expression

a4 = a × a × a × a

The sequence of fourth powers of integers goes:

1, 16, 81, 256, 625, 1296, 2401, 4096, 6561, 10000, ...

They are also formed by multiplying a number by its cube. Furthermore, they are squares of squares.

The last two digits of a fourth power can be easily shown (for instance, by computing the squares of possible last two digits of square numbers) to be restricted to only twelve possibilities: 00, 01, 16, 21, 25, 36, 41, 56, 61, 76, 81 and 96.

10-26-2009 08:16:03
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