-11--4x[-2-{(-2)^3+-4}] solve it pemdas

Answer 1

To solve the expression \(-11 - 4x[-2 - {(-2)^3 + -4}]\) using the order of operations (PEMDAS/BODMAS), follow these steps:

1. Parentheses/Brackets - Handle the innermost brackets first.

   Calculate \((-2)^3\): \[ (-2)^3 = -8 \]

   Now substitute this back into the expression: \[ -2 - { -8 + -4 } \]

2. Continue with the innermost brackets: \[ -8 + -4 = -8 - 4 = -12 \] Now substitute it back into the expression: \[ -2 - (-12) \]

3. Simplify: \[ -2 + 12 = 10 \]

4. Now substitute back into the main expression: The expression is now: \[ -11 - 4x[10] \]

5. Multiplication: Multiply \(4x\) by \(10\): \[ -11 - 40x \]

So, the final simplified expression is: \[ -11 - 40x \]