(1.15)^1/4.9
You asked:
Evaluate the expression: \(\frac{{1.15}^{1}}{4.9}\)
MathBot Answer:
\[\frac{{1.15}^{1}}{4.9} = \frac{23}{98} = 0.2\overline{346938775510204081632653061224489795918367}\]
\[\begin{aligned}\frac{{1.15}^{1}}{4.9}& = \left(1 + \frac{15}{100}\right)^{1} \cdot \frac{1}{4 + \frac{9}{10}}\\& = \left(1 + \frac{3}{20}\right)^{1} \cdot \frac{1}{4 + \frac{9}{10}}\\& = \left(\frac{23}{20}\right)^{1} \cdot \frac{1}{4 + \frac{9}{10}}\\& = \frac{23}{20} \cdot \frac{1}{4 + \frac{9}{10}}\\& = \frac{23}{20} \cdot \frac{1}{\frac{49}{10}}\\& = \frac{23}{98}\end{aligned}\]