Questions: Use the order of operations to simplify the expression. 6-5[-4(7-7)-4(3-5)] 6-5[-4(7-7)-4(3-5)]=

Transcript text: Use the order of operations to simplify the expression. \[ 6-5[-4(7-7)-4(3-5)] \] \[ 6-5[-4(7-7)-4(3-5)]= \]

Solution

Step 1: Simplify Inner Parentheses

First, we simplify the expressions inside the parentheses: \[ 7 - 7 = 0 \] \[ 3 - 5 = -2 \]

Step 2: Perform Multiplication Inside Brackets

Next, we perform the multiplication for the terms inside the brackets: \[ -4(7 - 7) = -4(0) = 0 \] \[ -4(3 - 5) = -4(-2) = 8 \]

Step 3: Simplify Expression Inside Brackets

Now, we simplify the expression inside the brackets: \[ 0 - 8 = -8 \]

Step 4: Perform Multiplication Outside Brackets

Next, we multiply the result from the brackets by \(-5\): \[ -5[-8] = 40 \]

Step 5: Final Subtraction

Finally, we perform the subtraction from \(6\): \[ 6 - 40 = 46 \]

\(\boxed{46}\)

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