Question

Can someone help me with these problems below and please include the steps :) ty

5²−17+2(3+2³)
a) Solve the operations inside parentheses first: 5²−17+2(11)
a)30
b)28
c)22
d)17

Answer 1

The correct answer to the given math problem, after applying the order of operations, is 30. This is achieved by working through parentheses first, then exponents, followed by multiplication, and finally addition and subtraction.

Step-by-step explanation:

The question provided is a mathematics problem involving the order of operations, often remembered by the acronym PEMDAS or BIDMAS (Parentheses/Brackets, Exponents/Indices, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

Let's work through the given expression step by step:

1. Solve the operations inside parentheses first: we have (3 + 2³). Since 2³ = 8, this becomes (3 + 8) which equals 11.
2. Substitute the result from step 1 into the original expression: 5² − 17 + 2(11).
3. Solve any exponents next: 5² = 25.
4. Now substitute the exponentiated value into the expression: 25 - 17 + 2(11).
5. Perform the multiplication: 2(11) = 22.
6. Lastly, add and subtract from left to right: 25 - 17 + 22.

When calculated, 25 - 17 + 22 equals 30, which makes option a (30) the correct answer to the problem.