Let's solve the expression step by step: ### Expression \[ -3 - 1\left[ -4 - 6(8^2 - 2) \right] \] --- ## **Step 1: Parentheses and Exponents** Calculate \(8^2\): \[ 8^2 = 64 \] So, the expression inside the parentheses is: \[ 8^2 - 2 = 64 - 2 = 62 \] Now substitute back: \[ -3 - 1\left[ -4 - 6(62) \right] \] --- ## **Step 2: Multiplication** Calculate \(6 \times 62\): \[ 6 \times 62 = 372 \] So now: \[ -3 - 1\left[ -4 - 372 \right] \] --- ## **Step 3: Simplify Inside Brackets** Calculate \(-4 - 372\): \[ -4 - 372 = -376 \] So: \[ -3 - 1[-376] \] --- ## **Step 4: Distribute the -1** \[ -1 \times -376 = 376 \] So the expression is: \[ -3 + 376 \] --- ## **Step 5: Final Calculation** \[ -3 + 376 = 373 \] --- ## **Final Answer** \[ \boxed{373} \]