# How do you simplify (p^12t^3r)/(p^2tr)?

Dec 23, 2016

${p}^{10} {t}^{2}$

#### Explanation:

First, we can rewrite this expression as:

${p}^{12} / {p}^{2} {t}^{3} / t \frac{r}{r}$

Now we can simplify the $r$ terms by using the rule:

$\textcolor{red}{\frac{x}{x} = 1}$

${p}^{12} / {p}^{2} {t}^{3} / t \cdot 1$

${p}^{12} / {p}^{2} {t}^{3} / t$

Next, we can use the following rule for exponents to rewrite the expression:

$\textcolor{red}{x = {x}^{1}}$ giving us:

${p}^{12} / {p}^{2} {t}^{3} / {t}^{1}$

Now we can use another rule for exponents to further simplify:

color(red)(x^a/x^b = x^(a - b)

${p}^{12 - 2} {t}^{3 - 1}$

${p}^{10} {t}^{2}$