# How do you simplify 5^2- 8 ÷ 2 using PEMDAS?

Oct 28, 2017

PEDMAS for ${5}^{2} - 8 \div 2 = 21$

#### Explanation:

${5}^{2} = 25$

Then do the Division:

$8 \div 2 = 4$

Then you can Subtract:

$25 - 4 = 21$

Oct 28, 2017

$21$

#### Explanation:

$\text{following the order of operations as set out in PEMDAS}$

["Parenthesis (brackets), Exponents (powers),"
"Multiplication, Division, Addition, Subtraction "]

$\Rightarrow 25 - 8 \div 2 \leftarrow \textcolor{red}{\text{ exponent}}$

$= 25 - 4 \leftarrow \textcolor{red}{\text{dividion}}$

$= 21 \leftarrow \textcolor{red}{\text{subtraction}}$

Oct 28, 2017

$21$

#### Explanation:

Identify the individual terms first. There are two terms.

Each term is simplified to a single answer and they are added or subtracted in the last step.

You can simplify in different terms in the same line.

Within each term the order of operations is

• brackets
• powers and roots
• multiply and divide

$\text{ } \textcolor{b l u e}{{5}^{2}} \textcolor{red}{- 8 \div 2}$

$= \textcolor{b l u e}{25} \textcolor{red}{- 4}$

$= 21$