(0.0064768593667478) ^ 0.28

asked by guest
on Sep 25, 2024 at 5:30 am



You asked:

Evaluate the expression: \({0.0064768593667478}^{0.28}\)

MathBot Answer:

\[{0.0064768593667478}^{0.28} = \frac{2^{\frac{4}{5}} \cdot 32384296833739^{\frac{7}{25}} \cdot 5^{\frac{13}{25}}}{100000}\]

\[\begin{aligned}{0.0064768593667478}^{0.28}& = \left(\frac{64768593667478}{10000000000000000}\right)^{\frac{28}{100}}\\& = \left(\frac{32384296833739}{5000000000000000}\right)^{\frac{28}{100}}\\& = \left(\frac{32384296833739}{5000000000000000}\right)^{\frac{7}{25}}\\& = \frac{1}{100000} \cdot 2^{\frac{4}{5}} \cdot 5^{\frac{13}{25}} \cdot 32384296833739^{\frac{7}{25}}\end{aligned}\]

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