(24+10)/2+(10+4)/7- 2 to the power of 3
You asked:
Evaluate the expression: \(\frac{24 + 10}{2} + \frac{10 + 4}{7} - {2}^{3}\)
MathBot Answer:
\[\frac{24 + 10}{2} + \frac{10 + 4}{7} - {2}^{3} = 11\]
\[\begin{aligned}\frac{24 + 10}{2} + \frac{10 + 4}{7} - {2}^{3}& = \left(24 + 10\right) \cdot \frac{1}{2} + \left(10 + 4\right) \cdot \frac{1}{7} - 2^{3}\\& = \frac{34}{2} + \left(10 + 4\right) \cdot \frac{1}{7} - 2^{3}\\& = 17 + \left(10 + 4\right) \cdot \frac{1}{7} - 2^{3}\\& = 17 + \frac{14}{7} - 2^{3}\\& = 17 + 2 - 2^{3}\\& = 17 + 2 - 8\\& = 19 - 8\\& = 11\end{aligned}\]