$153.8^{0.45}$

asked by guest
on Nov 19, 2024 at 3:23 pm



You asked:

Evaluate the expression: \({153.8}^{0.45}\)

MathBot Answer:

\[{153.8}^{0.45} = \frac{5^{\frac{11}{20}} \cdot 769^{\frac{9}{20}}}{5}\]

\[\begin{aligned}{153.8}^{0.45}& = \left(153 + \frac{8}{10}\right)^{\frac{45}{100}}\\& = \left(153 + \frac{4}{5}\right)^{\frac{45}{100}}\\& = \left(\frac{769}{5}\right)^{\frac{45}{100}}\\& = \left(\frac{769}{5}\right)^{\frac{9}{20}}\\& = \frac{1}{5} \cdot 5^{\frac{11}{20}} \cdot 769^{\frac{9}{20}}\end{aligned}\]

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