Question

If $a$ is any non-zero rational number and $m,n$ are two whole numbers, then ${\left(a^m\right)}^n=\_\_\_\_\_\_\_.$

Answer 1

If $a$ is any non-zero rational number and $m,n$ are two whole numbers, then

$$\begin{gathered} \Rightarrow {\left(a^m\right)}^n=a^{m\times n} \\ =a^{mn} \end{gathered}$$

Hence, $a^{mn}$ is the correct answer.