[9 + (-7 + (-5) - (-4))] + (-9)¹ × 6¹

1 answer

Let's break down the expression step by step.

  1. Start with the innermost parentheses: \(-7 + (-5) - (-4)\).

    • First, calculate \(-5 - (-4)\): \[ -5 + 4 = -1 \]
    • Next, calculate \(-7 + (-1)\): \[ -7 - 1 = -8 \] So, \(-7 + (-5) - (-4) = -8\).
  2. Now substitute back into the expression: \[ [9 + (-8)] + (-9)^1 \times 6^1 \]

  3. Now calculate \(9 + (-8)\): \[ 9 - 8 = 1 \]

  4. Calculate the next part, \((-9)^1 \times 6^1\):

    • \((-9)^1 = -9\)
    • \(6^1 = 6\)
    • Multiply them: \[ -9 \times 6 = -54 \]
  5. Now, combine the results: \[ 1 + (-54) = 1 - 54 = -53 \]

Therefore, the final result is: \[ \boxed{-53} \]