# 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 $\frac{x^n}{x^m} = x^{n-m}$.