The given expression is:
[tex]5\left\{23+\left[\left(25+4\right)-3^3\right]\right\}[/tex]It is required to simplify the expression.
Using the PEMDAS rule, the expression can be simplified as follows:
[tex]\begin{gathered} 5\left\{23+\left[\left(25+4\right)-3^3\right]\right\} \\ =5\left\{23+\left[\left(29\right)-3^3\right]\right\}=5\left\{23+\left[29-27\right]\right\} \\ =5\left\{23+\left[2\right]\right\}=5\lbrace25\rbrace=125 \end{gathered}[/tex]The answer is 125.