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Exponent Comparison

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

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 MathematicsIf \(\left(x^{2}y^{3}\right)^{n}=x^{8}y^{12}\), what is the value of (n)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Hard MathematicsIf the denominator of a reduced fraction is (2^a5^b), (a<b), and its decimal terminates exactly after (4) places, what is the correct conclusion?Class 10Real NumbersDecimal expansion of rational numbersLevel 20Hard MathematicsWhich prime factor has the greatest exponent in (2^3 \times 3^2 \times 7^2)?Class 10Real NumbersPrime FactorisationLevel 12Medium MathematicsIn which option is the exponent of (5) the greatest?Class 10Real NumbersPrime FactorisationLevel 12Medium MathematicsWhich prime factor has the greatest exponent in (2^2 \times 3 \times 5^2)?Class 10Real NumbersPrime FactorisationLevel 11Medium MathematicsIn which option is the exponent of (7) the greatest?Class 10Real NumbersPrime FactorisationLevel 11Medium MathematicsIn which option is the exponent of (2) the greatest?Class 10Real NumbersPrime FactorisationLevel 10Medium MathematicsIf (137200=2^4\times5^2\times7^p), what is the value of (p)?Class 10Real NumbersPrime FactorisationLevel 8Expert MathematicsIf (680400=2^4\times3^b\times5^2\times7), what is the value of (b)?Class 10Real NumbersPrime FactorisationLevel 8Expert MathematicsIf (627264=2^a\times3^4\times11^2), what is the value of (a)?Class 10Real NumbersPrime FactorisationLevel 8Expert MathematicsIf (529200=2^4\times3^3\times5^2\times7^q), what is the value of (q)?Class 10Real NumbersPrime FactorisationLevel 8Expert MathematicsIf (68040=2^3\times3^p\times5\times7), what is the value of (p)?Class 10Real NumbersPrime FactorisationLevel 9Hard MathematicsIf (108900=2^2\times3^2\times5^m\times11^2), what is the value of (m)?Class 10Real NumbersPrime FactorisationLevel 9Hard MathematicsIf (95256=2^3\times3^b\times7^2), what is the value of (b)?Class 10Real NumbersPrime FactorisationLevel 9Hard MathematicsIf (127008=2^a\times3^4\times7^2), what is the value of (a)?Class 10Real NumbersPrime FactorisationLevel 9Hard MathematicsIf (20736=2^m\times3^4), what is the value of (m)?Class 10Real NumbersPrime FactorisationLevel 7Hard MathematicsIf (22050=2\times3^b\times5^2\times7^2), what is the value of (b)?Class 10Real NumbersPrime FactorisationLevel 7Hard MathematicsIf (15840=2^a\times3^2\times5\times11), what is the value of (a)?Class 10Real NumbersPrime FactorisationLevel 7Hard MathematicsIf (20790=2\times3^p\times5\times7\times11), what is the value of (p)?Class 10Real NumbersPrime FactorisationLevel 8Hard