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Which option gives the correct simplified form of \(\left(ab^{-2}\right)^{3}\cdot a^{-1}b^{5}\)?किस विकल्प में \(\left(ab^{-2}\right)^{3}\cdot a^{-1}b^{5}\) का सही सरल रूप है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(a^{2}b^{-1}\)\(a^{2}b^{-1}\)
We have \(\left(ab^{-2}\right)^{3}=a^{3}b^{-6}\), and multiplying by \(a^{-1}b^{5}\) gives \(a^{2}b^{-1}\). In exams, add exponents separately for each variable.\(\left(ab^{-2}\right)^{3}=a^{3}b^{-6}\), फिर \(a^{-1}b^{5}\) से गुणा करने पर \(a^{2}b^{-1}\) मिलता है। परीक्षा में हर चर की घात अलग-अलग जोड़ें।
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