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

MathematicsIf 2^a = 32 and 8^b = 64, what is the value of a^b - b^a?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44MediumMathematicsIf \(r=\sqrt{15}+\sqrt{6}\), what is the value of \(r^2-6\sqrt{10}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44ExpertMathematicsWhat is the simplified form of \(\left(\frac{6x^{-2}y^{3}}{3x^{4}y^{-1}}\right)^{2}\cdot\frac{x^{12}}{4y^{8}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44ExpertMathematicsWhat is the simplified value of (\frac{3^{8}\cdot27^{-1}\cdot81^{2}}{9^{5}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44ExpertMathematicsIf \(x\neq0\), what is the simplified form of \(\left(\frac{2x^{-3}}{x^{2}}\right)^{-2}\cdot x^{-4}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44ExpertMathematicsWhat is the simplified form of (\frac{12^{4}}{2^{5}\cdot3^{3}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the simplified form of (\sqrt[3]{125a^{9}b^{6}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the simplified form of \(\left(\frac{x^{3}y^{-2}}{z^{-1}}\right)^{-1}\cdot\frac{x^{2}}{yz^{2}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsIf (10^m · 100^2 / 1000 = 10^6), what is the value of (m)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43MediumMathematicsWhat is the simplified form of (\frac{(3x^{2})^{3}(2x^{-1})^{2}}{6x^{4}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the simplified form of \(\left(\frac{4x^{3}y^{-2}}{2x^{-1}y^{4}}\right)^{2}\cdot\frac{y^{12}}{x^{4}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the simplified value of (\frac{2^{7}\cdot 8^{-2}\cdot 16^{3}}{4^{4}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsIf \(x\neq0\), what is the simplified form of \(\left(\frac{3x^{-2}}{x^{3}}\right)^{-2}\cdot x^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the simplified form of (\frac{(a^{2}b^{-1})^{-3}}{a^{-4}b^{2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsWhat is the simplified form of \(\left(\frac{3x^{-2}}{y^{-1}}\right)^{3}\cdot\frac{y^{2}}{27}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsWhat is the simplified form of (\frac{x^{5}-x^{3}}{x^{3}}), where (x\neq0)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsWhat is the simplified form of (\sqrt[3]{64x^{6}}), where (x) is real?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsWhat is the simplified value of (\frac{6^{5}}{2^{3}\cdot3^{4}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsWhat is the simplified form of \(\left(\frac{a^{3}b^{-2}}{a^{-1}b^{2}}\right)^{2}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsIf (r=10^{2}\cdot10^{-5}\cdot10^{4}), what is the value of (r)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard