Full solution

3[3+4(7 \cdot 8-11)]= \_\_\_\_\_

Follow PEMDAS Rule: First, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This rule is often abbreviated as PEMDAS. We start with the innermost parentheses which contain the expression $7\times8-11$ .
Calculate $7 \times 8$ : Calculate the multiplication within the parentheses: $7 \times 8 = 56$ .
Subtract $11$ : Subtract $11$ from the result of the multiplication: $56 - 11 = 45$ .
Multiply $4$ by $45$ : Now we have the expression $3[3+4\times45]$ . The next step is to multiply $4$ by $45$ .
Replace multiplication result: Perform the multiplication: $4\times45 = 180$ .
Add $3$ and $180$ : Replace the multiplication result back into the expression: $3[3+180]$ .
Multiply $3$ by $183$ : Add $3$ and $180$ inside the brackets: $3 + 180 = 183$ .
Final Simplified Expression: Now we have the expression $3[183]$ . The next step is to multiply $3$ by $183$ .
Final Simplified Expression: Now we have the expression $3[183]$ . The next step is to multiply $3$ by $183$ .Perform the multiplication: $3 \times 183 = 549$ .
Final Simplified Expression: Now we have the expression $3[183]$ . The next step is to multiply $3$ by $183$ .Perform the multiplication: $3 \times 183 = 549$ .We have now simplified the expression to its final value: $549$ .