Question

Evaluate. 2^−2⋅(12⋅3)−5^3

Answer 1

`\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}`

Answer 2

The value of the provided expression is -116.

Explanation:

Consider the provided expression.

`2^(-2)\cdot (12\cdot 3)-5^3`

The above expression can be written as:

`(1)/(2^2)\cdot (36)-5^3`

`(1)/(4)\cdot (36)-125`

`9-125`

`-116`

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