Respuesta :

Solution

To evaluate

[tex](2-6)^3\text{ / }-2^3+(-4)[/tex]

We use the order of operation rule

PEDMAS

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Following that order; we have

Parenthesis first

[tex]\begin{gathered} (2-6)^3=(-4)^3=-64 \\ \\ +(-4)=-4 \\ \\ 2^3=8 \end{gathered}[/tex][tex]\begin{gathered} \Rightarrow(2-6)^3\text{ / }-2^3+(-4)=-64\text{ / }-8-4 \\ \end{gathered}[/tex]

Using division

[tex]-64\text{ \textbackslash -8 }=8[/tex][tex]\Rightarrow-64\text{ / -8 -4 }=8-4=4[/tex]

The answer is 4.