Root-mean power

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A root mean power can be expressed as \[\sqrt[n]{\frac{x_1^n+\cdots+x_a^n}{a}}\] where $n$ is the root mean power and the mean is bigger when $n$ is bigger. As $n$ reaches $-\infty$, the mean reaches the lowest number. As $n$ reaches $\infty$, the mean reaches the highest number. Examples and their powers: Cubic Mean: 3, Quadratic Mean: 2, Arithmetic Mean: 1, Geometric Mean: 0 (theoretical, can't be solved using radicals), Harmonic Mean: -1 This article is a stub. Help us out by expanding it.