Evaluate
(6 to the power of 2 - 15 ÷ 3) x 2 to the power of 2
To evaluate this expression, we start by solving the operation inside the parentheses:
6 squared is 6^2 = 36
15 divided by 3 is 15/3 = 5
So, the expression becomes:
(36 - 5) x 2^2
Next, we calculate the exponentiation:
2 squared is 2^2 = 4
Now, we can simplify the expression further:
(36 - 5) x 4
36 minus 5 is 31, so the expression becomes:
31 x 4
Finally, we evaluate the multiplication to get the final answer:
31 multiplied by 4 is 124.
Therefore, the value of the expression is 124.
To evaluate the expression, let's break it down step-by-step:
Step 1: Evaluate the expression inside the parentheses.
6 to the power of 2 = 6^2 = 36
15 ÷ 3 = 5
So the expression inside the parentheses becomes:
36 - 5
Step 2: Evaluate the exponentiation.
2 to the power of 2 = 2^2 = 4
Step 3: Multiply the results from Step 1 and Step 2:
(36 - 5) x 4
Step 4: Subtract and multiply:
(31) x 4 = 124
Therefore, the final value of the expression is 124.