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Fórmula general de las potencias, ¿por qué x^0=1?, fórmula para calcular x^1/n

Principios:
x^n = 1(x^n)
x^-n = 1/(x^n)

Ejemplos:
x^3 = 1(xxx)
x^2 = 1(xx)
x^1 = 1(x)
x^0 = 1
x^-1 = 1/(x)
x^-2 = 1/(xx)
x^-3 = 1/(xxx)

x^1/n = 1(x^1/n) = 1(x/(x(1/(x^(1/(n^2))))))^n
x^-1/n = 1/(x^1/n) = 1/(x/(x(1/(x^(1/(n^2))))))^n

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