Silly question.
x to the power of four equals 1 only when x is 1, -1, i or -i.
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Is that one? One raised to any positive power is one.
In order to understand why everything to the zeroth power equal one, let's do some examples. 8^0 = 8^(1-1) = (8^1)(8^-1) = (8)(1/8) = 8/8 = 1 2^0 = 2^(2-2) = (2^2)(2^-2) = (4)(1/2^2) = (4)(1/4) = 4/4 = 1 (x + 1)^0 = (x + 1)^(1-1) = [(x + 1)^1][(x + 1)^-1] = (x+ 1)[1/(x + 1)] = (x + 1)/(x + 1) = 1
x times x cubed is equal to x^4, or x raised to the power of 4.