Discussion

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,

\(y^2 = 4\)

\(\Rightarrow y = \pm2\)

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