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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 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 44ExpertMathematicsWhat is the value of (\frac{\sqrt{147}-2\sqrt{12}+3\sqrt{27}}{\sqrt{3}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the value of \(\left(\frac{3}{5}\right)^{-2}+\left(\frac{5}{3}\right)^{-2}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsIf (\sqrt{x}=3\sqrt{2}), what is the value of (x^{\frac{3}{2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsIf \(x^{2}-\frac{1}{x^{2}}=24\) and \(x-\frac{1}{x}=4\), what is the value of \(x+\frac{1}{x}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the value of \(\left(\sqrt{13}+\sqrt{3}\right)\left(\sqrt{13}-\sqrt{3}\right)-\sqrt{100}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsIf (6^{x}=216) and (36^{y}=216), what is the value of (x+y)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsIf (x=\sqrt{5}-\sqrt{2}), what is the value of (x^{2}+2\sqrt{10})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsIf (p=4-\sqrt{15}), what is the value of (\frac{1}{p}-p)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the value of (\frac{\sqrt{75}+\sqrt{48}}{\sqrt{3}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat 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 43ExpertMathematicsIf (r=\sqrt{10}+\sqrt{2}), what is the value of (r^{2}-4\sqrt{5})?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 simplified form of (\sqrt{98}-\sqrt{72}+\sqrt{32}-\sqrt{18})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsIf \(x+\frac{1}{x}=5\), what is the value of \(x^{2}+\frac{1}{x^{2}}\)?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 43ExpertMathematicsIf (m=\sqrt{11}+\sqrt{6}), what is the value of (m^{2}+\frac{5}{m^{2}}), given (m(\sqrt{11}-\sqrt{6})=5)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the value of (\frac{1}{3-\sqrt{8}}-\frac{1}{3+\sqrt{8}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsIf (u=\sqrt{7}+\sqrt{3}) and (v=\sqrt{7}-\sqrt{3}), what is the value of (\frac{u^{2}-v^{2}}{uv})?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 43Expert