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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 \(x\neq0\), what is the simplified form of \(\left(\frac{4x^{-2}}{x^{3}}\right)^{-1}\cdot x^{-4}\)?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 MathematicsIf 9^x = 729 and 27^y = 729, what is the value of x + y?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsWhat is the simplified form of \(\left(\frac{7r^{-3}s^{2}}{49r^{2}s^{-4}}\right)^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsIf p = 6 - √35, what is the value of 1/p - p?Class 10PolynomialsIrrational numbers and real numbersLevel 44Hard MathematicsWhich option is the simplified form of (x^8 - 81) / (x^4 - 9), where x^4 ≠ 9?Class 10PolynomialsPolynomials in one variableLevel 44Medium MathematicsIf \(x\) and \(y\) are non-zero real numbers and \(\left(x^{-3}y^{2}\right)^k=x^{-12}y^{8}\), what is the value of \(k\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsIf (10^k × 1000^2) / 100 = 10^9, what is the value of k?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium 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 44Medium MathematicsWhat is the simplified form of ((x^6-64)/(x^3-8)), where (x^3≠8)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsWhat 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 44Expert MathematicsIf a is a positive real number with a \(\neq 1\), and \(\frac{a^{2p+1}\cdot a^{p-3}}{a^{p+4}}=a^6\), what is the value of p?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsIf \(x\neq0\), 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 44Expert MathematicsWhat is the simplified form of \(\frac{2a^{-1}+3a^{-1}}{5a^{-2}}\), where \(a\neq 0\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsWhat is the simplified form of \(\left(\frac{5m^{-2}n^{3}}{25m^{4}n^{-1}}\right)^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsWhich option is the simplified form of (\frac{x^{6}-1}{x^{3}-1}), where (x^{3}\neq1)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf \((x^{2}y^{-1})^{k}=x^{10}y^{-5}\), where \(x,y\neq 0\), what is the value of \(k\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (10^m · 100^2 / 1000 = 10^6), what is the value of (m)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsWhat is the simplified form of (\frac{(3x^{2})^{3}(2x^{-1})^{2}}{6x^{4}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (x^{3}=2), what is the value of (x^{9}+x^{6})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert