(2000/220)^1/20
You asked:
Evaluate the expression: \(\frac{{\left( \frac{2000}{220} \right)}^{1}}{20}\)
MathBot Answer:
\[\frac{{\left( \frac{2000}{220} \right)}^{1}}{20} = \frac{5}{11} = 0.\overline{45}\]
\[\begin{aligned}\frac{{\left( \frac{2000}{220} \right)}^{1}}{20}& = \left(\frac{2000}{220}\right)^{1} \cdot \frac{1}{20}\\& = \frac{100}{11} \cdot \frac{1}{20}\\& = \frac{5}{11}\end{aligned}\]