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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।

MathematicsWhat 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 45Expert MathematicsWhat is the simplified form of \(\left(\frac{x^{-4}y^{5}}{z^{-2}}\right)^{-1}\cdot\frac{y^{3}}{x^{2}z^{4}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsIf (x=\sqrt{2}+\sqrt{5}), what is the value of (x^{3}-7x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsWhat 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 44Expert MathematicsWhat is the simplified form of \(\left(\frac{x^{-2}y^{4}}{z^{-3}}\right)^{-1}\cdot\frac{y^{2}}{x^{3}z^{2}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsWhat is the simplified form of (\frac{x^{-3}-y^{-3}}{x^{-1}-y^{-1}}), where (x\neq0), (y\neq0), and (x\neq y)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsWhat 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 43Expert MathematicsWhat 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 43Expert MathematicsWhat is the simplified form of \(\left(\frac{a^{-3}b^{2}}{a^{2}b^{-4}}\right)^{-2}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf \(x\neq0\), 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 43Expert MathematicsIf (a\neq0) and (b^2-4ac) is a positive perfect square in (ax^2+bx+c=0), what is the most accurate nature of the roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf the roots of (x^2-27x+180=0) are (\alpha) and (\beta), what is (\alpha^2+\beta^2)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36Expert MathematicsWhich middle step is correct while solving (13x^2-52x+9=0) by completing the square?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36Expert MathematicsWhat will be the roots of (18x^2-45x+14=0) by factorisation method?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36Expert MathematicsIf (3x^2+18x+5=0) is solved by completing the square, which middle step is correct?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Expert MathematicsIf the roots of (x^2-23x+126=0) are (\alpha) and (\beta), what is (\alpha^2+\beta^2)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Expert MathematicsWhich middle step is correct while solving (11x^2-44x+7=0) by completing the square?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Expert MathematicsWhat will be the roots of (16x^2-38x+15=0) by factorisation method?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Expert MathematicsIf the roots of (x^2-19x+88=0) are (\alpha) and (\beta), what is (\alpha^2+\beta^2)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34Expert MathematicsWhich middle step is correct while solving \(9x^2-30x+8=0\) by completing the square?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34Expert