(116.99/100)^1/3-1
You asked:
Evaluate the expression: \(\frac{{\left( \frac{116.99}{100} \right)}^{1}}{3} - 1\)
MathBot Answer:
\[\frac{{\left( \frac{116.99}{100} \right)}^{1}}{3} - 1 = - \frac{18301}{30000} = -0.6100\overline{3}\]
\[\begin{aligned}\frac{{\left( \frac{116.99}{100} \right)}^{1}}{3} - 1& = \left(\left(116 + \frac{99}{100}\right) \cdot \frac{1}{100}\right)^{1} \cdot \frac{1}{3} - 1\\& = \left(\frac{11699}{100} \cdot \frac{1}{100}\right)^{1} \cdot \frac{1}{3} - 1\\& = \left(\frac{11699}{10000}\right)^{1} \cdot \frac{1}{3} - 1\\& = \frac{11699}{10000} \cdot \frac{1}{3} - 1\\& = \frac{11699}{30000} - 1\\& = - \frac{18301}{30000}\end{aligned}\]