5 of 105 of 10 Items
Question
Simplify the expression.
5 + 4 • (8 — 6)^2
(1 point)
Responses
13
21
36
40
The correct answer is 21.
To simplify the expression 5 + 4 • (8 — 6)^2, we follow the order of operations, which is parentheses first, then exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
1. Evaluate the expression inside the parentheses:
8 - 6 = 2
2. Square the result:
2^2 = 4
3. Multiply the square by 4:
4 • 4 = 16
4. Add 5 to the result:
16 + 5 = 21
Therefore, the simplified expression is 21.
To simplify the expression 5 + 4 • (8 — 6)^2, we need to follow the order of operations, which states that we should perform any calculations inside parentheses first, then perform any exponentiation, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.
Let's break down the steps:
1. Calculate (8 - 6)^2 = 2^2 = 4.
This is because we first subtract 6 from 8 (8 - 6 = 2), and then square the result (2^2).
2. Multiply 4 by 4: 4 • 4 = 16.
This is a simple multiplication.
3. Add 5 to 16: 5 + 16 = 21.
Finally, we add 5 to the result we obtained from the previous step.
Therefore, the simplified expression is equal to 21.