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Exponent Laws

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

MathematicsIf \(2^{x+1}=32\), what is the value of \(x\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Easy MathematicsIf \(x\neq0\) and \(y\neq0\), what is the simplest form of \(\frac{(2x^2y^{-2})^3}{8x^3y^{-7}}\)?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 \(a=5\), what is the value of \(a^2-a^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium MathematicsWhat is the simplified form of (\frac{18x^5y^3}{6x^2y}) if (x\neq0) and (y\neq0)?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 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 MathematicsFor real exponents \(m\) and \(n\), which condition on the base \(a\) is appropriate for using the exponent law \(a^m \times a^n=a^{m+n}\) in general?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 \(a\neq0\) and \(b\neq0\), what is the simplified form of \(\frac{24a^5b^3}{6a^2b^2}\)?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 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 MathematicsWhat is the simplified form of \(5^4\cdot5^{-2}\cdot5^3\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium MathematicsIf \(a\neq0\) and \(b\neq0\), what is the simplified form of \(\frac{15a^4b^2}{5a^2b}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsWhat is the value of \(\dfrac{2^3\times 2^4}{2^5}\) after simplification?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsWhat is the value of 8\frac{16^2}{2^5}9?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Medium MathematicsWhat is the simplified form of (\frac{2^3\cdot4^3}{8^2})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Easy MathematicsIf \(c \ne 0\), what is the value of \(c^0\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Easy MathematicsWhat is the simplified form of (4^2\cdot4^0\cdot4^3)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Easy MathematicsIf \(u\ne0\) and \(v\ne0\), what is the value of \(u^0+v^0+2^0\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Easy