Consider the expression (16-12)^2 +5(8+2)^2 /5^3 -(1+4)^2 Whats the simplified numerator
To simplify the numerator, we need to evaluate the expression inside the parenthesis and then perform the necessary calculations.
Step 1: Evaluate the expression inside the first parenthesis:
(16-12) = 4
Step 2: Evaluate the expression inside the second parenthesis:
(8+2) = 10
Step 3: Perform the calculations inside the numerator:
(16-12)^2 + 5(8+2)^2 = 4^2 + 5(10)^2 = 16 + 5(100) = 16 + 500 = 516
Therefore, the simplified numerator is 516.
To simplify the numerator, we need to evaluate each term of the expression.
Let's break down the expression step by step:
Step 1: Evaluate (16-12)^2
(16-12) = 4
4^2 = 16
Step 2: Evaluate (8+2)^2
(8+2) = 10
10^2 = 100
Step 3: Multiply 5 by the result of step 2
5 * 100 = 500
Step 4: Evaluate 5^3
5^3 = 125
Step 5: Evaluate (1+4)^2
(1+4) = 5
5^2 = 25
Now, let's put the simplified terms together:
16 + 500 / 125 - 25
Next, perform the division:
16 + 4 - 25
Now, add and subtract:
20 - 25 = -5
Therefore, the simplified numerator is -5.
To simplify the numerator of the expression, we need to evaluate each operation separately and combine like terms.
Given expression: (16-12)^2 + 5(8+2)^2 / 5^3 - (1+4)^2
Step 1: Evaluate the exponentials
(16-12)^2 = 4^2 = 16
(8+2)^2 = 10^2 = 100
(1+4)^2 = 5^2 = 25
Updated expression: 16 + 5(100) / 5^3 - 25
Step 2: Evaluate multiplication and division
5(100) = 500
5^3 = 5 * 5 * 5 = 125
Updated expression: 16 + 500 / 125 - 25
Step 3: Evaluate addition and subtraction
500 / 125 = 4
Updated expression: 16 + 4 - 25
Step 4: Simplify further
16 + 4 = 20
Updated expression: 20 - 25
Step 5: Evaluate subtraction
20 - 25 = -5
Therefore, the simplified numerator of the expression is -5.