Respuesta :

[tex]\text{Hello there!}\\\\\text{Solve the equation:}\\\\2^{-2}\left(12\cdot 3\right)-5^3\\\\0.25(12\cdot3)-5^3\\\\0.25(36)-5^3\\\\9-5^3\\\\9-125\\\\\large\boxed{-116}[/tex]

Answer:

The value of the provided expression is -116.

Step-by-step explanation:

Consider the provided expression.

[tex]2^{-2}\cdot (12\cdot 3)-5^3 [/tex]

The above expression can be written as:

[tex]\frac{1}{2^2}\cdot (36)-5^3 [/tex]

[tex]\frac{1}{4}\cdot (36)-125 [/tex]

[tex]9-125 [/tex]

[tex]-116 [/tex]

Hence, the value of the provided expression is -116.