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Find (125^{2/3}).(125^{2/3}) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 2525
Using the rule for fractional exponents, \(125^{2/3}=(\sqrt[3]{125})^2\). Since \(\sqrt[3]{125}=5\), the value is \(5^2=25\). Therefore, option C is correct. Exam tip: For \(a^{m/n}\), it is often easiest to take the \(n\)th root first and then raise the result to the \(m\)th power.भिन्न घात के नियम के अनुसार,
\(125^{2/3}=(\sqrt[3]{125})^2\)। चूँकि \(\sqrt[3]{125}=5\), इसलिए \(5^2=25\)। अतः सही उत्तर विकल्प C है। परीक्षा-युक्ति: \(a^{m/n}\) में पहले \(n\)वाँ मूल और फिर \(m\)वीं घात लेना सुविधाजनक होता है।
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