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

Mar 21, 2018

80

#### Explanation:

When using PEMDAS, parentheses help a ton. Remember:

Parentheses
Exponents
Multiplication/Division (Interchangeable)

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

$3 {\left(8 - 2\right)}^{2} + \left(\frac{10}{5}\right) - \left(6 \cdot 5\right)$

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

$3 {\left(6\right)}^{2} + \left(\frac{10}{5}\right) - \left(6 \cdot 5\right) :$ $\textcolor{red}{8 - 2 = 6}$
$3 \left(36\right) + \left(\frac{10}{5}\right) - \left(6 \cdot 5\right) :$ $\textcolor{red}{{6}^{2} = 36}$
$108 + \left(\frac{10}{5}\right) - \left(6 \cdot 5\right) :$ $\textcolor{red}{3 \cdot 36 = 108}$
$108 + \left(2\right) - \left(6 \cdot 5\right) :$ $\textcolor{red}{10 \div 5 = 2}$
$108 + \left(2\right) - \left(30\right) :$ $\textcolor{red}{6 \cdot 5 = 30}$
$110 - 30 :$ $\textcolor{red}{108 + 2 = 110}$
$80 :$ $\textcolor{red}{110 - 30 = 80}$