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Rational Exponents

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat is the value of ((2^5)^{\frac{2}{5}}\times (3^3)^{\frac{1}{3}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the value of (\dfrac{125^{\frac{2}{3}}}{25^{\frac{1}{2}}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsIf (y \neq 0), what is the simplified form of ((64x^6y^{-3})^{\frac{1}{3}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the value of \(\left(\dfrac{9}{4}\right)^{\frac{3}{2}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsIf (a>0) and (b>0), what is the simplified form of ((a^4b^{-2})^{\frac{1}{2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the value of \(\left(\dfrac{27}{8}\right)^{-\frac{2}{3}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the value of ((0.0001)^{\frac{3}{2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the value of (\dfrac{25^{\frac{3}{2}}}{125^{\frac{2}{3}}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsWhat is the value of \(\left(\dfrac{81}{16}\right)^{-\frac{1}{2}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsWhat is the simplified form of ((x^{\frac{1}{3}})^6)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsIf (a>0), what is the simplified form of (\dfrac{(a^{\frac{1}{2}}\times a^{\frac{3}{2}})^2}{a^3})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsWhat is the value of (27^{\frac{2}{3}}\times 81^{\frac{1}{4}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsWhat is the value of ((16)^{-\frac{3}{4}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsWhat is the value of ((9)^{\frac{3}{2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard