M-[ (m-n) : (-2) ] (-5), if m=-4, n=-6

-9

Step-by-step explanation:

We are given the expression m-[ (m-n) : (-2) ] (-5). Substituting - 4 for m and - 6 for n, we get:

-4-[ (-4 + 6) : (-2) ] (-5)

We must do the work that appears inside parentheses first:

-4-[ (2) : (-2) ] (-5)

Next we must do the work that appears inside square brackets:

-4-[ - 1 ] (-5)

Multiplication comes next. The above expression becomes:

-4 - [ 5 ]

which in turn comes out to - 9