# How do you express the phrase "the second power of the quotient of 80 divided by twice a number" as an algebraic expression?

Sep 11, 2015

${\left(\frac{80}{2 n}\right)}^{2}$

#### Explanation:

If we let $n$ represent a number
then
$\textcolor{w h i t e}{\text{XXX}}$twice a number $= 2 n$

and
$\textcolor{w h i t e}{\text{XXX}}$the quotient of 80 divided by twice a number $= \frac{80}{2 n}$

and
$\textcolor{w h i t e}{\text{XXX}}$the second power of quotient of 80 divided by twice a number $= {\left(\frac{80}{2 n}\right)}^{2}$