Find the value of 5×[6×2{3×7÷(5×3)}].

Following the BODMAS rule, we solve the expression step-by-step starting from the innermost brackets:
Expression: 5×[6×2{3×7÷(5×3)}]

Step 1: Solve inside the parentheses (5×3):

5×3=15
The expression becomes: 5×[6×2{3×7÷15}]

Step 2: Solve inside the curly braces {3×7÷15} using order of operations (division/multiplication from left to right):

3×7÷15=
15
21
​
=
5
7
​

The expression becomes: 5×[6×2×
5
7
​
]

Step 3: Solve inside the square brackets [6×2×
5
7
​
]:

6×2×
5
7
​
=12×
5
7
​
=
5
84
​

The expression becomes: 5×
5
84
​


Step 4: Perform final multiplication:

5×
5
84
​
=84