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Laws Of Exponents

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

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 MathematicsWhat is the factorized form obtained by taking the common factor out of \(4x^5+12x^4\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsIf \(a=2\) and \(b=5\), what is the value of \(a^2b+ab^2\)?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 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 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 \(x\ne0\), 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 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 \((3^2)^0+4^{-1}\)?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 MathematicsIf \(x=3\), what is the value of \(2x^3-5x^2+4\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsWhat is the product of \((5x^3y)(2xy^2)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsWhat is the factorised form obtained by taking the common factor from \(3x^4+9x^3\)?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 MathematicsWhat is the expanded form of the polynomial \(3x(2x^2-5x+4)\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium