# How do you simplify -2/3[5(-2)+8-4^3]?

Feb 3, 2016

66

#### Explanation:

$- \frac{2}{3} \left[- 10 + 8 - 64\right]$

$- \frac{2}{3} \left[- 2 - 64\right]$

$- \frac{2}{3} \left[- 66\right]$

$\left(- \frac{2}{3}\right) \times \left(- 66\right)$

But a minus times a minus is plus answer so we have:

$\textcolor{b l u e}{\frac{2}{3} \times 66}$

But you can write $\textcolor{b l u e}{\frac{2}{3} \times 66} \text{ as } \textcolor{b r o w n}{2 \times \frac{66}{3}}$

but $\text{ } \frac{66}{3} = 33$

so $\textcolor{b r o w n}{2 \times \frac{66}{3}} \text{ }$ can be written as$\text{ } 2 \times 33$

$\text{ } 2 \times 33 = 66$