Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[Express\sqrt[x\times \frac{1}{y}]{3}asapos\imath t\imath vWork\imath ngout\]
Simplify \(x\times \frac{1}{y}\) to \(\frac{x}{y}\).
\[Express\sqrt[\frac{x}{y}]{3}asapos\imath t\imath vWork\imath ngout\]
Invert and multiply.
\[Express\times {3}^{\frac{y}{x}}asapos\imath t\imath vWork\imath ngout\]
Regroup terms.
\[pprrssssaaoottknguExe\times {3}^{\frac{y}{x}}\imath \imath vWo\imath \]
Simplify.
\[{p}^{2}{r}^{2}{s}^{4}{a}^{2}{o}^{2}{t}^{2}knguExe\times {3}^{\frac{y}{x}}\imath \imath vWo\imath \]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{p}^{2}{r}^{2}{s}^{4}{a}^{2}{o}^{2}{t}^{2}knguExe\times {3}^{\frac{y}{x}}{\imath }^{3}vWo\]
Isolate \({\imath }^{2}\).
\[{p}^{2}{r}^{2}{s}^{4}{a}^{2}{o}^{2}{t}^{2}knguExe\times {3}^{\frac{y}{x}}{\imath }^{2}\imath vWo\]
Use Square Rule: \({i}^{2}=-1\).
\[{p}^{2}{r}^{2}{s}^{4}{a}^{2}{o}^{2}{t}^{2}knguExe\times {3}^{\frac{y}{x}}\times -1\times \imath vWo\]
Simplify.
\[{p}^{2}{r}^{2}{s}^{4}{a}^{2}{o}^{2}{t}^{2}knguExe\times {3}^{\frac{y}{x}}\times -\imath vWo\]
Regroup terms.
\[-ExevWo\imath {p}^{2}{r}^{2}{s}^{4}{a}^{2}{o}^{2}{t}^{2}kngu\times {3}^{\frac{y}{x}}\]
-Ex*e*vWo*IM*p^2*r^2*s^4*a^2*o^2*t^2*k*n*g*u*3^(y/x)
