How do you simplify $- \frac{2}{3} [5 (- 2) + 8 - 4^{3}]$ $-2/3[5(-2)+8-4^3]$ ?

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Answer 1 · 2016-02-03T17:45:57

66

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

$- \frac{2}{3} [- 2 - 64]$ $-2/3[-2-64]$

$- \frac{2}{3} [- 66]$ $-2/3[-66]$

$(- \frac{2}{3}) \times (- 66)$ $(-2/3)xx(-66)$

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

$\frac{2}{3} \times 66$ $color(blue)(2/3xx66)$

But you can write $\frac{2}{3} \times 66 as 2 \times \frac{66}{3}$ $color(blue)(2/3xx66)" as "color(brown)( 2xx66/3)$

but $\frac{66}{3} = 33$ $" "66/3=33$

so $2 \times \frac{66}{3}$ $color(brown)( 2xx66/3)" "$ can be written as $2 \times 33$ $" " 2xx33$

$2 \times 33 = 66$ $" "2xx33=66$

How do you simplify -2/3[5(-2)+8-4^3]−23[5(−2)+8−43]-2/3[5(-2)+8-4^3]?