1.6^0.2

asked by guest
on Nov 20, 2024 at 6:17 am



You asked:

Evaluate the expression: \({1.6}^{0.2}\)

MathBot Answer:

\[{1.6}^{0.2} = \frac{2^{\frac{3}{5}} \cdot 5^{\frac{4}{5}}}{5}\]

\[\begin{aligned}{1.6}^{0.2}& = \left(1 + \frac{6}{10}\right)^{\frac{2}{10}}\\& = \left(1 + \frac{3}{5}\right)^{\frac{2}{10}}\\& = \left(\frac{8}{5}\right)^{\frac{2}{10}}\\& = \sqrt[5]{\frac{8}{5}}\\& = \frac{1}{5} \cdot 2^{\frac{3}{5}} \cdot 5^{\frac{4}{5}}\end{aligned}\]

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