Intermediate Algebra: solve PV/T = P^v/t for P
- Thread starter Helen
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I can't tell what you have written.
Is "PV" a single variable or is it "P*V".
Maybe \(\displaystyle \L\frac{PV}{T}\;=\;\frac{P^{v}}{t}\)
If so, ...
\(\displaystyle \L\frac{PV}{T}*t\;=\;P^{v}\)
\(\displaystyle \L\left(\frac{PV}{T}*t\\right)^{\frac{1}{v}}\;=\;P\)
Is "PV" a single variable or is it "P*V".
Maybe \(\displaystyle \L\frac{PV}{T}\;=\;\frac{P^{v}}{t}\)
If so, ...
\(\displaystyle \L\frac{PV}{T}*t\;=\;P^{v}\)
\(\displaystyle \L\left(\frac{PV}{T}*t\\right)^{\frac{1}{v}}\;=\;P\)
Mmm I'm not sure how you went from:
\(\displaystyle \L \frac{PV}{T} = \frac{P^{v}}{t}\) to \(\displaystyle \L \frac{V}{t} \cdot \frac{P^{v}}{T} = \frac{V}{t} \cdot \frac{P^{v}}{t}\)
Anyway, try isolating P on one side of the equation:
\(\displaystyle \L \frac{PV}{T} = \frac{P^{v}}{t}\) (Divide both sides by P and multiply both sides by t)
\(\displaystyle \L \frac{Vt}{T} = \frac{P^{v}}{P^{1}}\)
Now use your exponent rules to express the fraction on the right into one power. Then you can do what tkhunny did to get rid of the exponent.
We're trying to solve just for P right?
\(\displaystyle \L \frac{PV}{T} = \frac{P^{v}}{t}\) to \(\displaystyle \L \frac{V}{t} \cdot \frac{P^{v}}{T} = \frac{V}{t} \cdot \frac{P^{v}}{t}\)
Anyway, try isolating P on one side of the equation:
\(\displaystyle \L \frac{PV}{T} = \frac{P^{v}}{t}\) (Divide both sides by P and multiply both sides by t)
\(\displaystyle \L \frac{Vt}{T} = \frac{P^{v}}{P^{1}}\)
Now use your exponent rules to express the fraction on the right into one power. Then you can do what tkhunny did to get rid of the exponent.
We're trying to solve just for P right?