Question

simplify the expression

3[(11-6)2 ÷ 5]

Answer 1

To simplify the expression \(3[(11-6)2 \div 5]\), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right):

1. Start by simplifying the expression inside the parentheses:
\[
11 - 6 = 5
\]

2. Now substitute this value back into the expression:
\[
3[(5)2 \div 5]
\]

3. Next, calculate \(5 \times 2\):
\[
5 \times 2 = 10
\]

4. Now we rewrite our expression:
\[
3[10 \div 5]
\]

5. Now, divide \(10\) by \(5\):
\[
10 \div 5 = 2
\]

6. Substitute this value back into the expression:
\[
3[2]
\]

7. Finally, multiply:
\[
3 \times 2 = 6
\]

Therefore, the simplified expression is \(\boxed{6}\).