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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 \\( (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 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 MathematicsIf 9^x = 729 and 27^y = 729, what is the value of x + y?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Medium 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 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 (4^{x}=2^{10}), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf (2^{a}=8) and (3^{b}=81), what is the value of (a^{b})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf (5^{x}=125) and (2^{y}=32), what is the value of (x+y)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf (2^{x+1}+2^{x}=48), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf \(\left(3^{x}\right)^{2}=729\), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard