(6³ ÷ -3²) + (2 × -7)²
You asked:
Evaluate the expression: \(\frac{{6}^{3}}{-{3}^{2}} + {\left( 2 \cdot -7 \right)}^{2}\)
MathBot Answer:
\[\frac{{6}^{3}}{-{3}^{2}} + {\left( 2 \cdot -7 \right)}^{2} = 172\]
\[\begin{aligned}\frac{{6}^{3}}{-{3}^{2}} + {\left( 2 \cdot -7 \right)}^{2}& = 6^{3} \cdot \frac{1}{- 3^{2}} + \left(2 \cdot -7\right)^{2}\\& = 216 \cdot \frac{1}{- 3^{2}} + \left(2 \cdot -7\right)^{2}\\& = 216 \cdot \frac{1}{- 9} + \left(2 \cdot -7\right)^{2}\\& = \frac{216}{-9} + \left(2 \cdot -7\right)^{2}\\& = -24 + \left(2 \cdot -7\right)^{2}\\& = -24 + \left(-14\right)^{2}\\& = -24 + 196\\& = 172\end{aligned}\]