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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 \\( (7^x)^2\cdot 7^{x-1}=16807 \\), what is the value of \\(x\\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsWhat is the simplified form of the following expression, where \(b\ne0\)? \(\frac{6b^{-3}+9b^{-3}}{3b^{-5}}\)Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsIf \(a>0\) and \(p,q\) are real numbers, which of the following laws of exponents is always correct?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsWhich of the following statements is always true for non-zero real numbers according to the laws of exponents?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsFor \(x\ne0\), what is the simplified form of \(\frac{(5x^{-2})^{2}(2x^{4})^{2}}{20x^{4}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsIf \(x^5=3\), what is the value of \(x^{15}+x^{10}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsFor \(p,q\neq 0\), what is the simplified form of \(\left(\frac{p^{-5}q^{4}}{p^{-1}q^{-2}}\right)^{-2}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsIf \(a>0\), \(a\ne1\), and \(\frac{a^{3p-2}\cdot a^{p+5}}{a^{2p-1}}=a^{10}\) holds for all such values of \(a\), what is the value of \(p\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsWhat is the simplified form of 8b^{-2}+6b^{-2}9 divided by 5b^{-3}9, where b\ne09?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsWhat is the value of \(\left(\sqrt{17}+\sqrt{8}\right)\left(\sqrt{17}-\sqrt{8}\right)-\sqrt{81}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsIf \(x\) and \(y\) are non-zero real numbers and \(\left(x^{-3}y^{2}\right)^k=x^{-12}y^{8}\), what is the value of \(k\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsFor \(x\ne0\), what is the simplest form of \(\frac{(4x^{-1})^{2}(3x^{3})^{2}}{12x^{4}}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsIf \(x^4=5\), what is the value of \(x^{12}-x^8\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsIf \(m\neq 0\) and \(n\neq 0\), what is the simplified form of \(\left(\frac{m^{-4}n^{3}}{m^{2}n^{-5}}\right)^{-1}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsIf a is a positive real number with a \(\neq 1\), and \(\frac{a^{2p+1}\cdot a^{p-3}}{a^{p+4}}=a^6\), what is the value of p?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsWhat is the simplified form of \(\frac{2a^{-1}+3a^{-1}}{5a^{-2}}\), where \(a\neq 0\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf \((x^{2}y^{-1})^{k}=x^{10}y^{-5}\), where \(x,y\neq 0\), what is the value of \(k\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsWhat is the simplified value of (\frac{7^{4}\cdot49^{-1}}{343^{-2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsWhat is the simplified form of \(\left(\frac{a^{-3}b^{2}}{a^{2}b^{-4}}\right)^{-2}\)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (a\neq0) and (\frac{a^{p+4}\cdot a^{2p-1}}{a^{p+5}}=a^{8}), what is the value of (p)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert