Final answer:
To evaluate the given numerical expression, follow the order of operations (PEMDAS) step by step. The value of the expression is 9.
Step-by-step explanation:
To evaluate the expression given, we need to follow the order of operations, which is commonly known as PEMDAS.
Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)
The expression can be simplified step by step as follows:
- [(12-36) ÷ (-12)]² - 20 ÷ (-4)
- [(-24) ÷ (-12)]² - 20 ÷ (-4)
- [2]² - 20 ÷ (-4)
- 4 - 20 ÷ (-4)
- 4 - (-5)
- 4 + 5
- 9
Therefore, the value of the given expression is 9.
Learn more about Evaluating numerical expressions