# Order of Operations

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In Algebra, the **Order of Operations** is the sequence to be taken in solving or simplifying equations.

In its simplest form, the order is:

- Raising exponents to their powers and extracting roots in the order that you come to them in the problem.
- Multiplying and dividing in the order that you come to them in the problem.
- Adding and subtracting in the order that you come to them in the problem.

It gets a little more complicated when the problem contains brackets or parentheses, as we must first apply the same order to math inside them *before* working on the math outside of them.

## Examples[edit | edit source]

Applying the Order of Operations, we would simplify the following expression like this:

- First, we do the exponents and extra the roots

- Next, we do multiplication and division

- Finally, we do addition and subtraction

Let's bring the expression above into a new example with parentheses:

- First, we do exponents and extract roots within the parentheses.

- Next, we do multiplication and division within the parentheses.

- Then, we do addition and subtraction within the parentheses.

- Now that the parentheses are finished, we do the same thing step by step in the rest of the problem. Exponents & roots:

- Multiplication & division:

- Addition & substraction: