Math Problem Solver

$$\frac{5}{4 {e}^{4}} + \frac{5 {e}^{4}}{4} = \frac{5}{4 e^{4}} + \frac{5 e^{4}}{4} \approx 68.27058209004121657300497403016765$$

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

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