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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 (\frac{(x^{4}-16)}{(x^{2}-4)}), where (x\neq2) and (x\neq-2)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsWhat is the simplified form of (\frac{x^{-2}-y^{-2}}{x^{-1}-y^{-1}}), where (x\neq0), (y\neq0), and (x\neq y)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (a\neq0) and (\frac{a^{p+4}\cdot a^{2p-1}}{a^{p+5}}=a^{8}), what is the value of (p)?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 MathematicsWhat 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 45Hard MathematicsWhat 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 45Hard MathematicsIf (x^{2}=3), what is the value of (x^{6}-x^{4})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsWhat 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 45Hard MathematicsIf \(\left(x^{2}y^{3}\right)^{n}=x^{8}y^{12}\), what is the value of (n)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsWhat 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 45Hard MathematicsWhich option correctly writes \(\left(x^{2}-4\right)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsWhat is the simplified form of \(\left(\frac{x^{-2}y^{3}}{x^{4}y^{-1}}\right)^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf (x^a / x^b = x^7) and (a+b=13), what is the value of (a)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsWhat is the simplified form of \(\left(\frac{4x^{2}y^{-3}}{2x^{-1}y}\right)^{-2}\), where \(x\neq0\) and \(y\neq0\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf (p=\sqrt{2}+\sqrt{3}) and (q=\sqrt{3}-\sqrt{2}), what is the value of (pq)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsWhat is the value of (\frac{5^{8}\cdot 25^{-2}}{125})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf \(\left(3^{x}\right)^{2}=729\), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf (a>0) and (a\neq 1), then (\frac{a^{m+2}\cdot a^{3-m}}{a^{4}}) is equal to which expression?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf \(x\neq 0\), what is the simplified form of \(\left(2x^{-3}\right)^{-2}\cdot x^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf u and v are real numbers, which law of exponents is correct?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Easy