Description of the calculation with Roots, Power and Exponents with examples
This page describes a general relationship between roots and powers in mathematical terms.
First to the power; they can be considered as shorthand of multiplication.
The expression \(a^{4}\) stands for \(a · a · a · a\).
In the expression \(a^n\) we call \(a\) the basis and \(n\) the exponent.
For a negative exponen \(a^{-n}\) you can also write \(1/a^{n}\).
A general root for natural numbers is also defined by the exponent
In \(\sqrt[n]{a}\) we call \(a\) the radicand and \(n\) again the exponent
It is \(\sqrt[3]{8}=2\) or \(\sqrt{16}=4\), where without specifying the exponent, the \(2\) is assumed as an exponentwird.
If \(\sqrt[n]{a}=b\), then \(b^{n}=a\).
The following list shows some rules that simplify the process of converting and calculating formulas