# How do you evaluate (3+ 5) ^ { 2} - 2\cdot 7?

Mar 21, 2018

$50$

#### Explanation:

To simplify this expression, all we need to do, is use $P E M D A S$.

First thing we need to know is the definition of $P E M D A S$:

$P$ - Parenthesis

$E$ - Exponents

$M D$ - Multiply/Divide (Left to Right)

$A S$ - Add/Subtract (Left to Right)

This is the order we must do this, from top to bottom. This process is more commonly known as the Order of Operations .

Now that we know the order of the steps we must take to solve this, this is the solution:

${\left(3 + 5\right)}^{2} - 2 \cdot 7$

$= {\left(8\right)}^{2} - 2 \cdot 7$

$= 64 - 2 \cdot 7$

$= 64 - 14$

$= 50$