(-5)^2-4×(6÷((-7)+8))×3 = ? i would like a step by step of how to get the answer
To solve the expression (-5)^2 - 4 × (6 ÷ ((-7) + 8)) × 3, we follow the order of operations (also known as PEMDAS):
1. Start with the innermost parentheses: (-7) + 8 = 1.
The expression becomes (-5)^2 - 4 × (6 ÷ 1) × 3.
2. Next, evaluate any exponentiation: (-5)^2 = 25.
The expression becomes 25 - 4 × (6 ÷ 1) × 3.
3. Then, division: 6 ÷ 1 = 6.
The expression becomes 25 - 4 × 6 × 3.
4. Finish multiplication from left to right: 4 × 6 = 24.
The expression becomes 25 - 24 × 3.
5. Perform the remaining multiplication: 24 × 3 = 72.
The expression becomes 25 - 72.
6. Finally, subtract: 25 - 72 = -47.
So, (-5)^2 - 4 × (6 ÷ ((-7) + 8)) × 3 equals -47.
To solve the expression (-5)^2 - 4 × (6 ÷ ((-7) + 8)) × 3 step-by-step, follow the order of operations (PEMDAS/BODMAS):
Step 1: Calculate inside parentheses/brackets
-7 + 8 = 1
The expression becomes: (-5)^2 - 4 × (6 ÷ 1) × 3
Step 2: Simplify exponents
(-5)^2 means multiplying -5 by itself: (-5) × (-5) = 25
The expression becomes: 25 - 4 × (6 ÷ 1) × 3
Step 3: Perform division
6 ÷ 1 = 6
The expression becomes: 25 - 4 × 6 × 3
Step 4: Multiply
4 × 6 × 3 = 72
The expression becomes: 25 - 72
Step 5: Calculate subtraction
25 - 72 = -47
So, the answer to the expression (-5)^2 - 4 × (6 ÷ ((-7) + 8)) × 3 is -47.