Question

$$\left. \begin{array} { l } { - ( - 3 ) ^ { 2 } + 6 \div ( - 3 ) } \\ { 16 + ( - 21 ) + 7 \times } \end{array} \right.$$

Answer

-55

Solution


Since the power of 2 is even, the result will be positive.
\[-{3}^{2}+\frac{6}{-3}\times 16-21+7\]
Simplify  \({3}^{2}\)  to  \(9\).
\[-9+\frac{6}{-3}\times 16-21+7\]
Move the negative sign to the left.
\[-9-\frac{6}{3}\times 16-21+7\]
Simplify  \(\frac{6}{3}\)  to  \(2\).
\[-9-2\times 16-21+7\]
Simplify  \(2\times 16\)  to  \(32\).
\[-9-32-21+7\]
Simplify  \(-9-32\)  to  \(-41\).
\[-41-21+7\]
Simplify  \(-41-21\)  to  \(-62\).
\[-62+7\]
Simplify.
\[-55\]