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If (a \neq 0) and (b \neq 0), what is the simplified form of (a^2b^{-3}\div a^{-1}b)?यदि (a \neq 0) और (b \neq 0), तो (a^2b^{-3}\div a^{-1}b) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (,\dfrac{a^3}{b^4},)(,\dfrac{a^3}{b^4},)
In division, (a^{2-(-1)}=a^3) and (b^{-3-1}=b^{-4}), so the answer is (\dfrac{a^3}{b^4}). In exams, subtract exponents of like variables separately.भाग में (a^{2-(-1)}=a^3) और (b^{-3-1}=b^{-4}), इसलिए उत्तर (\dfrac{a^3}{b^4}) है। परीक्षा में समान variables के exponents अलग-अलग घटाएं।
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