Question

Find the value of $2$ power $8$

Answer 1

Compute the required value

Given, $2$ power $8$

We know that,

$$\begin{gathered} {\mathit{a}}^{\mathbf{m}\mathbf{\times }\mathbf{n}}\mathbf{=}{\left(a^m\right)}^{\mathbf{n}} \\ \Rightarrow 2^8={\left(2^4\right)}^2 \\ ={\left(16\right)}^2 \\ =256 \end{gathered}$$

Hence, the value of $2$ power $8$ is $256$