InterviewSolution
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InterviewSolution
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Write each of the following in exponential form:(i) \((\frac{3}{2})^{-1}\times (\frac{3}{2})^{-1}\times (\frac{3}{2})^{-1}\times (\frac{3}{2})^{-1}\)(ii) \((\frac{2}{5})^{-2}\times (\frac{2}{5})^{-2}\times (\frac{2}{5})^{-2}\) |
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Answer» (i) \((\frac{3}{2})^{-1}\times (\frac{3}{2})^{-1}\times (\frac{3}{2})^{-1}\times (\frac{3}{2})^{-1}\) ⇒ \((\frac{3}{2})^{-4}=(\frac{2}{3})^{4}\)[Using \(a^{-n}=\frac{1}{a^{n}}\);\(a^{n}=a\times a............n\, times\)] (ii) \((\frac{2}{5})^{-2}\times (\frac{2}{5})^{-2}\times (\frac{2}{5})^{-2}\) ⇒ \((\frac{2}{5})^{-6}=(\frac{5}{2})^{6}\)[Using \(a^{-n}=\frac{1}{a^{n}}\);\(a^{n}=a\times a............n\, times\)] |
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