((6³ ÷ -3²) + (2 × -7))²
You asked:
Evaluate the expression: \({\left( \frac{{6}^{3}}{-{3}^{2}} + 2 \cdot -7 \right)}^{2}\)
MathBot Answer:
\[{\left( \frac{{6}^{3}}{-{3}^{2}} + 2 \cdot -7 \right)}^{2} = 1444\]
\[\begin{aligned}{\left( \frac{{6}^{3}}{-{3}^{2}} + 2 \cdot -7 \right)}^{2}& = \left(6^{3} \cdot \frac{1}{- 3^{2}} + 2 \cdot -7\right)^{2}\\& = \left(216 \cdot \frac{1}{- 3^{2}} + 2 \cdot -7\right)^{2}\\& = \left(216 \cdot \frac{1}{- 9} + 2 \cdot -7\right)^{2}\\& = \left(\frac{216}{-9} + 2 \cdot -7\right)^{2}\\& = \left(-24 + 2 \cdot -7\right)^{2}\\& = \left(-24 - 14\right)^{2}\\& = \left(-38\right)^{2}\\& = 1444\end{aligned}\]