hi! I want to know how to calculate as an aexample= 2^3.4 without using the"^" button of my calculator I already know that it's equal to sqrt5(131072) can someone help me?
$$\begin{array}{rll} 2^{3.4}&=&2^{\frac{34}{10}}\\\\ &=&2^{\frac{17}{5}}\\\\ &=&\left(2^{17}\right)^{1/5}\\\\ &=&\sqrt[5]{2^{17}}\\\\ &=&\sqrt[5]{131072} \end{array}$$