5÷5÷5÷5÷5

asked by guest
on Sep 20, 2024 at 7:40 am



You asked:

Evaluate the expression: \(\frac{\frac{\frac{\frac{5}{5}}{5}}{5}}{5}\)

MathBot Answer:

\[\frac{\frac{\frac{\frac{5}{5}}{5}}{5}}{5} = \frac{1}{125} = 0.008\]


\[\begin{aligned}\frac{\frac{\frac{\frac{5}{5}}{5}}{5}}{5}& = \frac{5}{5} \cdot \frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5}\\& = \frac{5}{5} \cdot \frac{1}{5} \cdot \frac{1}{25}\\& = \frac{1}{5} \cdot \frac{1}{25}\\& = \frac{1}{125}\end{aligned}\]