(1.06) to the power 1/5
You asked:
Evaluate the expression: \({1.06}^{\frac{1}{5}}\)
MathBot Answer:
\[{1.06}^{\frac{1}{5}} = \frac{\sqrt[5]{106000}}{10} \approx 1.01172195149275427082937740763326\]
\[\begin{aligned}{1.06}^{\frac{1}{5}}& = \sqrt[5]{1 + \frac{6}{100}}\\& = \sqrt[5]{1 + \frac{3}{50}}\\& = \sqrt[5]{\frac{53}{50}}\\& = \frac{1}{10} \cdot \sqrt[5]{106000}\end{aligned}\]