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Negative Exponents

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

MathematicsIf \(a=5\), what is the value of \(a^2-a^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsIf \(x\ne0\), what is the simplified form of \(\frac{x^7\cdot x^{-3}}{x^2}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsWhat is the simplified form of \(\frac{(2^3)^2\cdot4^{-1}}{8}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsWhat is the value of \(3^5\cdot 9^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsWhat is the value of \(9^{-1}+3^{-2}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsIf \(x\ne0\) and \(y\ne0\), what is the simplified form of \(\left(\frac{x^{-3}}{y^{-2}}\right)^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsIf \(x\neq0\) and \(y\neq0\), what is the simplified form of \(\frac{x^6y^{-3}}{x^3y^{-5}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsFor a non-zero real number \(a\) and a positive integer \(n\), which of the following is the correct law of negative exponents?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsWhat is the value of (0.25)^{-2}?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsIf \(x\neq0\) and \(y\neq0\), what is the simplified form of \(\frac{(3x^2y^{-1})^2}{9xy^{-3}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsWhich of the following statements is true for all non-zero real numbers \(a\) and \(b\), according to the laws of exponents?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsWhat is the value of \(2^5\cdot4^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsWhat is the value of \(4^{-1}+2^{-2}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsIf \(x\neq0\) and \(y\neq0\), what is the simplified form of \(\left(\frac{x^{-2}}{y^{-3}}\right)^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsWhat is the simplified form of \(\frac{x^5y^{-2}}{x^2y^{-4}}\), if \(x\neq0\) and \(y\neq0\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsWhat is the value of \(\left(\frac{1}{3}\right)^{-2}+\left(\frac{1}{2}\right)^{-2}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsIf \(a=2\), what is the value of \(a^3+a^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsWhat is the simplified form of \(\frac{3^2\cdot 3^{-4}}{3^{-3}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsIf \(y\ne0\), what is the correct form of \(y^{-5}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Easy MathematicsIf \(x\ne0\), what is the correct form of \(x^{-4}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Easy