Math Problem Solver

\[3 \cdot {\left( \frac{-2}{5} \right)}^{2} - \frac{6 \cdot \frac{-2}{5}}{-\left( 7 \cdot {\left( \frac{-2}{5} \right)}^{3} \right)} + 5 \cdot {\left( \frac{-2}{5} \right)}^{2} = \frac{2323}{350} = 6.63\overline{714285}\]

\[\begin{aligned}3 \cdot {\left( \frac{-2}{5} \right)}^{2} - \frac{6 \cdot \frac{-2}{5}}{-\left( 7 \cdot {\left( \frac{-2}{5} \right)}^{3} \right)} + 5 \cdot {\left( \frac{-2}{5} \right)}^{2}& = 3 \cdot \left(- \frac{2}{5}\right)^{2} - 6 \cdot - \frac{2}{5} \cdot \frac{1}{- 7 \cdot \left(- \frac{2}{5}\right)^{3}} + 5 \cdot \left(- \frac{2}{5}\right)^{2}\\& = 3 \cdot \frac{4}{25} - 6 \cdot - \frac{2}{5} \cdot \frac{1}{- 7 \cdot \left(- \frac{2}{5}\right)^{3}} + 5 \cdot \left(- \frac{2}{5}\right)^{2}\\& = \frac{12}{25} - 6 \cdot - \frac{2}{5} \cdot \frac{1}{- 7 \cdot \left(- \frac{2}{5}\right)^{3}} + 5 \cdot \left(- \frac{2}{5}\right)^{2}\\& = \frac{12}{25} - 6 \cdot - \frac{2}{5} \cdot \frac{1}{- 7 \cdot - \frac{8}{125}} + 5 \cdot \left(- \frac{2}{5}\right)^{2}\\& = \frac{12}{25} - 6 \cdot - \frac{2}{5} \cdot \frac{1}{- - \frac{56}{125}} + 5 \cdot \left(- \frac{2}{5}\right)^{2}\\& = \frac{12}{25} - 6 \cdot - \frac{2}{5} \cdot \frac{1}{\frac{56}{125}} + 5 \cdot \left(- \frac{2}{5}\right)^{2}\\& = \frac{12}{25} - 6 \cdot - \frac{25}{28} + 5 \cdot \left(- \frac{2}{5}\right)^{2}\\& = \frac{12}{25} - - \frac{75}{14} + 5 \cdot \left(- \frac{2}{5}\right)^{2}\\& = \frac{12}{25} + \frac{75}{14} + 5 \cdot \left(- \frac{2}{5}\right)^{2}\\& = \frac{12}{25} + \frac{75}{14} + 5 \cdot \frac{4}{25}\\& = \frac{12}{25} + \frac{75}{14} + \frac{4}{5}\\& = \frac{2043}{350} + \frac{4}{5}\\& = \frac{2323}{350}\end{aligned}\]