Solve for \(((3^{y})^{\sqrt{}2})^{2} = 729\).
Answer: C
Exp: \(((3^{y})^{\sqrt{}2})^{2} = 729\)
\((3^y)^2 = 3^4 (\sqrt2^2 = (2^{\frac{1}{2}}) = 2)\)
equating powers of 2 on both sides,
\(y^2 = 4\)
\(\Rightarrow y = \pm2\)