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If (a>0), what is the simplified form of (\dfrac{(a^{\frac{1}{2}}\times a^{\frac{3}{2}})^2}{a^3})?यदि (a>0), तो (\dfrac{(a^{\frac{1}{2}}\times a^{\frac{3}{2}})^2}{a^3}) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (,a,)(,a,)
Inside, (a^{\frac{1}{2}}a^{\frac{3}{2}}=a^2), so (\dfrac{(a^2)^2}{a^3}=a). In exams, solve fractional exponents using the usual exponent rules.अंदर (a^{\frac{1}{2}}a^{\frac{3}{2}}=a^2), इसलिए (\dfrac{(a^2)^2}{a^3}=a)। परीक्षा में fractional exponents को भी सामान्य घात नियम से हल करें।
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