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Simplify: open vertical bar 7 minus 15 close vertical bar minus open parentheses 18 divided by 3 plus 3 close parentheses squared ANS.

1 Answer

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The question asks us to evaluate the given expression:


|7-15|-(18/3+3)^2

In order to solve this problem, we need to have a good understanding of PEDMAS.

PEDMAS is an acronym for:

P- Parenthesis

E- Exponential

D- Division

M- Multiplication

A - Addition

S - Subtraction.

PEDMAS gives the order of operation for an expression like the one given above. That is, you solve the part of the expression that contains a "Parenthesis" first, then Exponential, then Division and so on.

For the expression in the question, we have:

1. Parenthesis - P

2. Exponential (raised to power 2) - E

3. Division (18 divided by 3) - D

No Multiplication - M

4. Addition - A

5. Subtraction - S

Let us now solve this using PEDMAS

This is done below:

1. Parenthesis:


\begin{gathered} (18/3+3) \\ \end{gathered}

We need to solve what is in the parenthesis first before we proceed. We also apply PEDMAS here.

The division comes before addition in PEDMAS, so we do that first before proceeding


\begin{gathered} (18/3+3) \\ (6+3) \\ =(9) \end{gathered}

Next, we shall move on to the exponential.

2. Exponential:


\begin{gathered} |7-15|-(18/3+3)^2 \\ =|7-15|-(9)^2 \\ =|7-15|-81 \end{gathered}

Next, we need to deal with the absolute value.


\begin{gathered} |7-15|-81 \\ =|-8|-81 \\ =8-81 \end{gathered}

Now, we have only subtraction, which is easy to compute.


8-81=-73

Therefore, the final answer is - 73