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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 \(5^{x-2}=125\), what is the value of \(x\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsIf \(2^{x+1}=64\), what is the value of \(x\)?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 MathematicsWhat is the value of \((3^2)^0+4^{-1}\)?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 MathematicsIf \\(x=-3\\), what is the value of \\(x^4+x^3\\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsWhat is the value of \(2.5^2-1.5^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Easy MathematicsUsing an algebraic identity, find the value of 64 × 56.Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsIf \(a-b=7\) and \(ab=10\), what is the value of \(a^2+b^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsIf \(m+n=11\) and \(mn=24\), what is the value of \(m^2+n^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsWhich of the following statements correctly represents the quotient rule of exponents for non-zero real numbers?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsFor a non-zero real number \(a\) and integers \(m,n\), which equation correctly represents the product law of exponents?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 correct simplified form of \((a^3b^2)^3\)?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 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 MathematicsAccording to the laws of exponents, which rule applies when a term with an exponent, a^m, is raised to the nth power?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsIf \(x\neq 0\), what is the simplified form of \(\frac{(x^2)^3\cdot x^{-1}}{x^2}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium