1. The problem is to evaluate the expression: $$6 [51 - (7 - 3)^2]$$. 2. According to the order of operations (PEMDAS/BODMAS), we first solve expressions inside parentheses, then exponents, then multiplication and subtraction. 3. Calculate inside the parentheses: $$7 - 3 = 4$$. 4. Now evaluate the exponent: $$(7 - 3)^2 = 4^2 = 16$$. 5. Substitute back into the expression: $$6 [51 - 16]$$. 6. Simplify inside the brackets: $$51 - 16 = 35$$. 7. Multiply: $$6 \times 35 = 210$$. 8. Final answer: $$210$$.