5÷5÷5÷5÷5
You asked:
Evaluate the expression: \(\frac{\frac{\frac{\frac{5}{5}}{5}}{5}}{5}\)
MathBot Answer:
\[\frac{\frac{\frac{\frac{5}{5}}{5}}{5}}{5} = \frac{1}{125} = 0.008\]
\[\begin{aligned}\frac{\frac{\frac{\frac{5}{5}}{5}}{5}}{5}& = \frac{5}{5} \cdot \frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5}\\& = \frac{5}{5} \cdot \frac{1}{5} \cdot \frac{1}{25}\\& = \frac{1}{5} \cdot \frac{1}{25}\\& = \frac{1}{125}\end{aligned}\]