2.5(35.93) raise to power 0.35
You asked:
Evaluate the expression: \(2.5 \cdot {35.93}^{0.35}\)
MathBot Answer:
\[2.5 \cdot {35.93}^{0.35} = \frac{10^{\frac{3}{10}} \cdot 3593^{\frac{7}{20}}}{4}\]
\[\begin{aligned}2.5 \cdot {35.93}^{0.35}& = \left(2 + \frac{5}{10}\right) \cdot \left(35 + \frac{93}{100}\right)^{\frac{35}{100}}\\& = \left(2 + \frac{1}{2}\right) \cdot \left(35 + \frac{93}{100}\right)^{\frac{35}{100}}\\& = \frac{5}{2} \cdot \left(35 + \frac{93}{100}\right)^{\frac{35}{100}}\\& = \frac{5}{2} \cdot \left(\frac{3593}{100}\right)^{\frac{35}{100}}\\& = \frac{5}{2} \cdot \left(\frac{3593}{100}\right)^{\frac{7}{20}}\\& = \frac{5}{2} \cdot \frac{1}{10} \cdot 10^{\frac{3}{10}} \cdot 3593^{\frac{7}{20}}\\& = \frac{1}{4} \cdot 10^{\frac{3}{10}} \cdot 3593^{\frac{7}{20}}\end{aligned}\]