{|-2(-5)-38|+2}/3[-9+7]^3
We simplify: \(\left|-2\left(-5\right)-38\right|+\frac{2}{3}\left(-9+7\right)^3=\left|2\cdot \:5-38\right|+\frac{2}{3}\left(-9+7\right)^3\), so we get \(28+\frac{2}{3}\left(7-9\right)^3\) or \(\boxed{\frac{68}{3}}.\)
Taking what you have literally written, we have
{ |-2(-5)-38|+2} / 3 * [-9+7]^3 =
(1/3) { l 10 - 38 l + 2 } * ( -9 + 7)^3 =
(1/3) { l - 28 l + 2 } * (-2)^3 =
(1/3) ( 30) * (-2)^3 =
10 * ( -8) =
-80
