Final answer:
To evaluate the expression 8⋅ (2+3) ² - 4², follow the order of operations to find that the answer is C. 184 after performing the operations step by step.
Step-by-step explanation:
The question requires the evaluation of the exponential expression 8⋅ (2+3) ² - 4². To solve this, we follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, we solve the expression inside the parentheses:
(2+3) = 5
Next, we apply the exponent:
(5)² = 25
Then we perform the multiplication:
8 × 25 = 200
Now we solve the remaining exponent:
4² = 16
Last step is to subtract:
200 - 16 = 184
The correct answer is C. 184.