(1.06) to the power 1/5

asked by guest
on Nov 14, 2024 at 11:58 pm



You asked:

Evaluate the expression: 1.0615{1.06}^{\frac{1}{5}}

MathBot Answer:

1.0615=106000510≈1.01172195149275427082937740763326{1.06}^{\frac{1}{5}} = \frac{\sqrt[5]{106000}}{10} \approx 1.01172195149275427082937740763326

1.0615=1+61005=1+3505=53505=110⋅1060005\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}

+ Submit Question