How do you simplify (-3)^3 - (-4)^2 - (-12 + 7)?

Aug 2, 2016

$- 38$

Explanation:

The first step is to evaluate the Parenthesis. That is calculate the parts in brackets.

${\left(\textcolor{red}{- 3}\right)}^{3} = \left(\textcolor{red}{- 3} \times \textcolor{red}{- 3} \times \textcolor{red}{- 3}\right) = \textcolor{red}{- 27}$

${\left(\textcolor{b l u e}{- 4}\right)}^{2} = \left(\textcolor{b l u e}{- 4} \times \textcolor{b l u e}{- 4}\right) = \textcolor{b l u e}{16}$

$\left(\textcolor{m a \ge n t a}{- 12 + 7}\right) = \textcolor{m a \ge n t a}{- 5}$

Now place these values into the expression and evaluate from left to right.

$\Rightarrow \textcolor{red}{- 27} - \textcolor{b l u e}{16} - \left(\textcolor{m a \ge n t a}{- 5}\right)$

$= - 27 - 16 + 5 = - 43 + 5 = - 38$