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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 (x+y=10) and (x^2+y^2=58), what is the value of (xy)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsWhat is the simplest value of \(\frac{(2^4)^2\cdot 8^{-1}}{4}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsIf \(2^{x-1}=32\), what is the value of \(x\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsIf \(3^{x+2}=243\), what is the value of \(x\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsWhat is the value of \(2^7\cdot16^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsFor a non-zero base \(a\), which law of exponents is represented by \(a^m \div a^n=a^{m-n}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsIf \(a\neq0\) and \(b\neq0\), what is the simplified form of \(\left(\frac{a^{-2}}{b^{-4}}\right)^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsIf \(x\neq0\) and \(y\neq0\), what is the simplified form of \(\frac{x^8y^{-4}}{x^5y^{-6}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsFor a non-zero base \(a\), which rule represents division of powers with the same base?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsUsing an algebraic identity, find the value of \(72\cdot68\).Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsWhat is the value of \(104^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsIf \(a-b=8\) and \(ab=12\), what is the value of \(a^2+b^2\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsIf m + n = 13 and mn = 36, what is the value of m² + n²?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsWhich of the following statements is always true for exponents of non-zero real numbers?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsWhich of the following expressions correctly illustrates the law of exponents \,\(a^m \times a^n=a^{m+n}\)\, for real numbers?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsIf \(a=5\), what is the value of \(a^2-a^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsWhich of the following expressions is equal to 1, where \(a\) is a non-zero real number?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsIf \(y\ne0\), which of the following statements correctly represents the power of a quotient law?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 \(\frac{(3^2)^4}{3^5\cdot 3^{-2}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium