Use Rule of One: \({x}^{1}=x\).
\[{p}^{2}q{r}^{4}{s}^{3}=315000then\]
Regroup terms.
\[{p}^{2}q{r}^{4}{s}^{3}=315000ethn\]
Divide both sides by \(q\).
\[{p}^{2}{r}^{4}{s}^{3}=\frac{315000ethn}{q}\]
Divide both sides by \({r}^{4}\).
\[{p}^{2}{s}^{3}=\frac{\frac{315000ethn}{q}}{{r}^{4}}\]
Simplify \(\frac{\frac{315000ethn}{q}}{{r}^{4}}\) to \(\frac{315000ethn}{q{r}^{4}}\).
\[{p}^{2}{s}^{3}=\frac{315000ethn}{q{r}^{4}}\]
Divide both sides by \({s}^{3}\).
\[{p}^{2}=\frac{\frac{315000ethn}{q{r}^{4}}}{{s}^{3}}\]
Simplify \(\frac{\frac{315000ethn}{q{r}^{4}}}{{s}^{3}}\) to \(\frac{315000ethn}{q{r}^{4}{s}^{3}}\).
\[{p}^{2}=\frac{315000ethn}{q{r}^{4}{s}^{3}}\]
Take the square root of both sides.
\[p=\pm \sqrt{\frac{315000ethn}{q{r}^{4}{s}^{3}}}\]
p=sqrt((315000*e*t*h*n)/(q*r^4*s^3)),-sqrt((315000*e*t*h*n)/(q*r^4*s^3))