Exponent
The exponent (such as the 2 in \( x^2\)) says how many times to use the value in a multiplication
Example:
\(2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32\)
\(a^2b = a \times a \times b\)
\(a^3b^2 = a \times a \times a \times b \times b\)
The Law on Indices
\begin{array}{cccc}
\color{blue}\text{No} && \color{blue}\text{indices} &&\color{blue} \text{General Form}\\\\
1&& a^m \times a^n && a^{m+n} \\\\
2&&\dfrac{a^m}{a^n} && a^{m-n}\\\\
3&&(a^m)^n &&a^{m\times n}\\\\
4&&(a\times b)^n &&a^n \times b^n\\\\
5&&\left(\dfrac{a}{b}\right)^n && \dfrac{a^n}{b^n}\\\\
6&&a^{-n} && \dfrac{1}{a^n}\\\\
\end{array}