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Fractional Exponents

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

MathematicsIf (\sqrt{x}=5\sqrt{2}), what is the value of (x^{\frac{3}{2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45ExpertMathematicsWhat is the simplified form of \(\left(\frac{125x^{-9}}{64y^{12}}\right)^{-\frac{1}{3}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45ExpertMathematicsWhat is the value of \(\left(125^{\frac{2}{3}}\right)\cdot\left(25^{-\frac{3}{2}}\right)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45ExpertMathematicsWhat is the value of \(\left(\frac{25}{49}\right)^{-\frac{3}{2}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45ExpertMathematicsWhat is the value of \(\left(25^{\frac{3}{2}}\right)\cdot\left(125^{-\frac{2}{3}}\right)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45ExpertMathematicsWhat is the value of \(\left(\frac{81}{256}\right)^{-\frac{3}{4}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45ExpertMathematicsIf (\sqrt{x}=4\sqrt{3}), what is the value of (x^{\frac{3}{2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44ExpertMathematicsWhat is the simplified form of \(\left(\frac{64x^{-6}}{27y^{9}}\right)^{-\frac{1}{3}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44ExpertMathematicsWhat is the value of \(\left(64^{\frac{2}{3}}\right)\cdot\left(8^{-\frac{4}{3}}\right)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44ExpertMathematicsWhat is the value of \(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44ExpertMathematicsWhat is the value of \(\left(49^{\frac{3}{2}}\right)\cdot\left(343^{-\frac{2}{3}}\right)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44ExpertMathematicsWhat is the value of \(\left(\frac{64}{125}\right)^{-\frac{2}{3}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44ExpertMathematicsIf (\sqrt{x}=3\sqrt{2}), what is the value of (x^{\frac{3}{2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the simplified form of \(\left(\frac{27x^{-3}}{8y^{6}}\right)^{-\frac{1}{3}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the value of \(\left(32^{\frac{2}{5}}\right)\cdot\left(4^{-\frac{3}{2}}\right)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the value of \(\left(\frac{9}{16}\right)^{-\frac{3}{2}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the value of \(\left(27^{\frac{2}{3}}\right)^{-1}\cdot\left(81^{\frac{3}{4}}\right)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the value of \(\left(\frac{125}{216}\right)^{-\frac{2}{3}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the simplified form of \(\left(81x^{4}\right)^{\frac{1}{2}}\), where \(x\ge0\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsWhat is the value of \(\left(16^{-\frac{3}{4}}\right)\cdot8^{\frac{2}{3}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard