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Algebra

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

MathematicsFor the polynomial \(p(x)=2x^2-3x+1\), what is the value of \(p(1)\)?Class 10PolynomialsPolynomials in one variableLevel 46Easy MathematicsIf \(x^{2}-\frac{1}{x^{2}}=60\) and \(x-\frac{1}{x}=6\), what is the value of \(x+\frac{1}{x}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsIf \(x^{2}-\frac{1}{x^{2}}=40\) and \(x-\frac{1}{x}=5\), what is the value of \(x+\frac{1}{x}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsIf \(x^{2}-\frac{1}{x^{2}}=24\) 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 43Expert MathematicsIf \(x+\frac{1}{x}=5\), what is the value of \(x^{2}+\frac{1}{x^{2}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf u and v are real numbers, which law of exponents is correct?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Easy MathematicsIf (a \neq 0) and (b \neq 0), what is the simplified form of (\dfrac{a^{-1}+b^{-1}}{(ab)^{-1}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsIf (y \neq 0), what is the simplified form of ((64x^6y^{-3})^{\frac{1}{3}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsIf \(a \neq 0\) and \(b \neq 0\), what is the simplified form of \(\left(\dfrac{a^2}{b^{-3}}\right)^{-2}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsIf (a>0) and (b>0), what is the simplified form of ((a^4b^{-2})^{\frac{1}{2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsIf \(a \neq 0\) and \(b \neq 0\), what is the simplified form of \(\left(\dfrac{a^{-2}b}{ab^{-3}}\right)^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsIf (x \neq 0) and (y \neq 0), what is the simplified form of (\dfrac{x^5y^{-2}}{x^{-1}y^3})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsIf (a \neq 0) and (b \neq 0), what is the simplified form of (a^2b^{-3}\div a^{-1}b)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsWhat is the simplified form of ((x^{\frac{1}{3}})^6)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsIf (x \neq 0), what is the simplified form of ((4x^{-2})^{-1})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsIf \(y \neq 0\), what is the simplified form of \(\left(\dfrac{x^2}{y^{-1}}\right)^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsIf (x \neq 0) and (y \neq 0), which is the simplified form of ((x^{-2}y^3)^{-2})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsWhich of the following statements correctly represents a law of exponents for all positive real numbers \(a\) and \(b\) and any real number \(r\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsIf \(y\ne0\), what is the correct form of \(y^{-5}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Easy MathematicsWhat is the simplified form of ((s^5)^2)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Easy