Math Problem Solver

$$\frac{5}{4} \left({e}^{4} - {e}^{-4}\right) = - \frac{5}{4 e^{4}} + \frac{5 e^{4}}{4} \approx 68.22479299281938112227067897698455$$

$$\begin{aligned}\frac{5}{4} \left({e}^{4} - {e}^{-4}\right)&=\frac{5}{4} \cdot \left(e^{4} - \frac{1}{e^{4}}\right)\\&=\frac{5}{4} \cdot \left(e^{4} - e^{-4}\right)\\&=\frac{5}{4} \cdot \left(- e^{-4} + e^{4}\right)\\&=- \frac{5}{4} \cdot e^{-4} + \frac{5}{4} \cdot e^{4}\end{aligned}$$

$e$ is Euler's number, a mathematical constant that is approximately $2.71828$.