38+6^-9/4
You asked:
Evaluate the expression: \(38 + \frac{{6}^{-9}}{4}\)
MathBot Answer:
\[38 + \frac{{6}^{-9}}{4} = \frac{1531809793}{40310784} \approx 38.00000002480725753188030279937001\]
\[\begin{aligned}38 + \frac{{6}^{-9}}{4}& = 38 + \frac{1}{6^{9}} \cdot \frac{1}{4}\\& = 38 + \frac{1}{10077696} \cdot \frac{1}{4}\\& = 38 + \frac{1}{40310784}\\& = \frac{1531809793}{40310784}\end{aligned}\]