Question

How do you simplify `3(8-2)² + 10 ÷ 5 - 6 * 5` using order of operations?

Answer 1

80

Explanation:

When using PEMDAS, parentheses help a ton. Remember:

Parentheses
Exponents
Multiplication/Division (Interchangeable)
Addition/Subtraction (Interchangeable)

Let's separate the term into something easier on the eyes:

`3(8-2)^2 + (10/5)-(6*5)`

Now we have the exact same expression, but it becomes clear what we have to do first. Let's follow PEMDAS:

`3(6)^2+(10/5)-(6*5):` `color(red)(8 - 2 = 6)`
`3(36)+(10/5)-(6*5):` `color(red)(6^2 = 36)`
`108+(10/5)-(6*5):` `color(red)(3 * 36 = 108)`
`108+(2)-(6*5):` `color(red)(10 -: 5 = 2)`
`108+(2)-(30):` `color(red)(6 * 5 =30)`
`110-30:` `color(red)(108 + 2 = 110)`
`80:` `color(red)(110 - 30 = 80)`