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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।

MathematicsIf (\frac{2^{x}\cdot2^{x+2}}{2^{3}}=32), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf \(a\) is a nonzero real number, which of the following statements is always true?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsWhat is the simplified value of (\frac{(2^{5})^{3}\cdot(4^{-2})}{8^{2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsWhich option gives the correct simplified form of \(\left(ab^{-2}\right)^{3}\cdot a^{-1}b^{5}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsWhat is the value of (\frac{5^{8}\cdot 25^{-2}}{125})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf \(x\neq 0\), what is the simplified form of \(\left(2x^{-3}\right)^{-2}\cdot x^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf u and v are real numbers, which law of exponents is correct?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Easy MathematicsIf \(a^m=2\) and \(a^n=7\), what is the value of \(a^{2m+n}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsIf \(2^p=5\), what is the value of \(16^p\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard MathematicsIf \(a\) and \(b\) are non-zero real numbers and \(m,n\) are integers, which of the following law of exponents is always valid?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsIf (a>0), what is the simplified form of (\dfrac{(a^{\frac{1}{2}}\times a^{\frac{3}{2}})^2}{a^3})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsSimplify: ((2^3)^2 \times 2^{-4}) is equal to which value?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Hard MathematicsSimplify: ((3^2)^3 \div 3^4) is equal to which value?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 MathematicsWhat is the value of \(\left(5^2\right)^0+2^{-3}\)?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 MathematicsIf \(x=-4\), what is the value of \(x^4+x^3\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Medium