If x= \((\frac{3}{2})^{2}\times (\frac{2}{3})^{-4}\), find the value o

1.	If x= \((\frac{3}{2})^{2}\times (\frac{2}{3})^{-4}\), find the value of \(x^{2}\).
Answer» \(x = (\frac{3}{2})^{2}\times (\frac{2}{3})^{-4}\) \(x = (\frac{3}{2})^{2}\times (\frac{3}{2})^{4}\)[Using \(a^{m}\times a^{n} = a^{m+n}\)] \(x = (\frac{3}{2})^{6}\) \(x^{-2} = (\frac{2}{3})^{12}\)

If x= \((\frac{3}{2})^{2}\times (\frac{2}{3})^{-4}\), find the value of \(x^{2}\).

Answer»

\(x = (\frac{3}{2})^{2}\times (\frac{2}{3})^{-4}\)

\(x = (\frac{3}{2})^{2}\times (\frac{3}{2})^{4}\)[Using \(a^{m}\times a^{n} = a^{m+n}\)]

\(x = (\frac{3}{2})^{6}\)

\(x^{-2} = (\frac{2}{3})^{12}\)

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