# Indices

An indice is a number with a power; for example $x^n$ where $x$ is the *base* and $n$ is the
*power*, *exponent* or *index*. Some common powers have their own names, these
include 2 which is known as *squared*, 3 which is known as the *cubed* or -1 $(\frac{1}{x})$
which is known as the *reciprocal*.

Indices are a fundamental part of mathematics and greatly simpifly the writing/reading of equations as well allowing the development of rules that allow up to easily simplify/factor equations. For example, it is much nicer to write $x^6$ rather than $x\times x\times x\times x\times x\times x$. And rules like $x^n \times x^m = x^{n+m}$ and $\frac{x^n}{x^m} = x^{n-m}$.