How do you simplify $\frac{p^{12} t^{3} r}{p^{2} t r}$ $(p^12t^3r)/(p^2tr)$ ?

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Answer 1 · 2016-12-23T01:22:37

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

First, we can rewrite this expression as:

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

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

$\frac{x}{x} = 1$ $color(red)(x/x = 1)$

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

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

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

$x = x^{1}$ $color(red)(x = x^1)$ giving us:

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

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

$\frac{x^{a}}{x^{b}} = x^{a - b}$ $color(red)(x^a/x^b = x^(a - b)$

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

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

How do you simplify p12t3rp2tr(p^12t^3r)/(p^2tr)?