Question

-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:
\[
-11 - 40x
\]