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What is the value of \(\left(\frac{125}{216}\right)^{-\frac{2}{3}}\)?\(\left(\frac{125}{216}\right)^{-\frac{2}{3}}\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{36}{25}\)\(\frac{36}{25}\)
Since \(\left(\frac{125}{216}\right)^{\frac{1}{3}}=\frac{5}{6}\), \(\left(\frac{125}{216}\right)^{-\frac{2}{3}}=\left(\frac{5}{6}\right)^{-2}=\frac{36}{25}\). In exams, take the cube root first and then apply the negative power.\(\left(\frac{125}{216}\right)^{\frac{1}{3}}=\frac{5}{6}\), इसलिए \(\left(\frac{125}{216}\right)^{-\frac{2}{3}}=\left(\frac{5}{6}\right)^{-2}=\frac{36}{25}\)। परीक्षा में पहले घनमूल और फिर ऋणात्मक घात लें।
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