Answer
$24$
Work Step by Step
Using order of operations, the given expression, $
-3\cdot8\div(-2)^3\cdot4-6(5-7)
,$ is equivalent to
\begin{align*}
&
-3\cdot8\div(-8)\cdot4-6(-2)
&(\text{Parenthesized expression first})
\\&=
-24\div(-8)\cdot4-6(-2)
&(\text{Multiplication})
\\&=
3\cdot4-6(-2)
&(\text{Division})
\\&=
12-6(-2)
&(\text{Multiplication})
\\&=
12+12
&(\text{Multiplication})
\\&=
24
&(\text{Addition})
.\end{align*}
Hence, the expression $-3\cdot8\div(-2)^3\cdot4-6(5-7)$ simplifies to $
24
$.
