Consider the expression (16−12)2+5(8+22)53−(1+4)2
What is the simplified numerator?(1 point)
54
4^2+60
76
100
The simplified numerator of the expression is 100.
To simplify the given expression, we follow the order of operations (PEMDAS/BODMAS). Here are the step-by-step calculations:
Step 1: Calculate inside the parentheses for each set:
(16−12) = 4
(8+22) = 30
(1+4) = 5
Step 2: Calculate the exponent:
4^2 = 16
Step 3: Calculate the products:
5 * 30 = 150
Step 4: Calculate the simplified numerator:
16 + 150 = 166
So, the simplified numerator of the expression is 166.