# How do you evaluate #(2+ 3) ^ { 2} - 4\times 5\div 3#?

##### 2 Answers

Using PEMDAS, you can calculate the solution to be

#### Explanation:

Remember that PEMDAS defines the order of operations for all arithmetic. PEMDAS stands for:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

So starting from the top of the acronym, we evaluate the terms inside of the parentheses:

Making our expression:

Now, we work on exponents. The only exponent here is the

We're now at multiplication and division. we have one multiplication and one division exercise to do, let's combine them! Since the 4, 5, and 3 are all together, you can re-write that expression like so:

What I did here was that instead of dividing by 3, I multiplied by its inverse,

Finally, We'll skip addition (there's no addition in this expression!) and go straight to subtraction:

Let's raise the 25 so it's a function of thirds, making the arithmetic slightly easier. We'll then put that modified fraction into the expression:

Now we have a solution as an improper fraction,

#### Explanation:

In any expression with multiple operations, identify the individual terms first: