Evaluate ( 7 to the power of 2 - 15 ÷ 3) x 2 to the power of 2
Choose the best answer from the options below:
A 16
B 18
C 36
D 176
To evaluate the expression, we must follow the order of operations.
First, we calculate the expression inside the parentheses:
(7 to the power of 2 - 15 ÷ 3) x 2 to the power of 2
= (49 - 15 ÷ 3) x 2 to the power of 2
= (49 - 5) x 2 to the power of 2
= 44 x 2 to the power of 2
Next, we calculate the exponentiation:
= 44 x 4
= 176
Therefore, the answer is D) 176.
To evaluate the given expression step-by-step, we can follow the order of operations (PEMDAS/BODMAS).
Step 1: Evaluate within parentheses: 7 to the power of 2 - 15 ÷ 3
- First, divide 15 by 3: 15 ÷ 3 = 5
- Then, find 7 squared (7 to the power of 2): 7^2 = 49
- Finally, subtract 5 from 49: 49 - 5 = 44
Step 2: Evaluate the exponent: 2 to the power of 2
- 2^2 = 4
Step 3: Multiply the results from Step 1 and Step 2: 44 x 4 = 176
Therefore, the value of the expression is 176.
The correct answer is D) 176.