Question

Simplify the expression ${64}^{\pi }÷2^{\pi }$.

Short answer

The simplified value of expression is ${32}^{\pi }$.

Step-by-step solution

Step 1. Write down the given expression.

The given expression is ${64}^{\pi }÷2^{\pi }$.

Step 2. Simplify the expression.

The given expression ${64}^{\pi }÷2^{\pi }$is simplified as:

$\begin{array}{l}{64}^{\pi }÷2^{\pi }=\frac{{64}^{\pi }}{2^{\pi }}\\ =\frac{{\left(2\right)}^{6\pi }}{{\left(2\right)}^{\pi }}\\ =2^{5\pi }\\ ={32}^{\pi }\end{array}$

Step 3. Conclusion.

The simplified value of expression is ${32}^{\pi }$.