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Product Factorisation

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

MathematicsIf (x=2^6\times3^4\times7^2) and (y=2^3\times3^5\times5\times7), what will be the power of 3 in (xy)?Class 10Real NumbersPrime FactorisationLevel 8ExpertMathematicsIf (a=2^5\times3^3\times5^2\times11) and (b=2^4\times3^5\times7\times11^2), what will be the power of 11 in (ab)?Class 10Real NumbersPrime FactorisationLevel 8ExpertMathematicsIf (x=2^8\times5^3\times7^2\times13) and (y=2^5\times3^2\times5^4\times13^3), what will be the power of 13 in (xy)?Class 10Real NumbersPrime FactorisationLevel 9HardMathematicsIf (a=2^6\times3^4\times5^2\times11) and (b=2^3\times3^5\times7\times11^2), what will be the power of 3 in (ab)?Class 10Real NumbersPrime FactorisationLevel 9HardMathematicsIf (x=2^7\times5^4\times11^2) and (y=2^2\times3^3\times5^3\times11), what will be the power of 11 in (xy)?Class 10Real NumbersPrime FactorisationLevel 7HardMathematicsIf (a=2^4\times3^5\times7) and (b=2^3\times3^2\times5\times7^2), what will be the power of 7 in (ab)?Class 10Real NumbersPrime FactorisationLevel 7HardMathematicsIf (x=2^8\times5^3\times11) and (y=2^4\times3^2\times5^5), what will be the power of 5 in (xy)?Class 10Real NumbersPrime FactorisationLevel 8HardMathematicsIf (a=2^5\times3^2\times7) and (b=2^3\times3^4\times5), what will be the power of 3 in (ab)?Class 10Real NumbersPrime FactorisationLevel 8HardMathematicsIf (x=2^7\times3^8\times5^6) and (y=2^9\times3^5\times5^7), how many prime factors will (xy) have if repetition is counted?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6ExpertMathematicsIf (x=2^{10}\times3^6\times5) and (y=2^9\times3^3\times11^2), what will be the power of 2 in (xy)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6ExpertMathematicsIf (x=2^8\times3^5\times7^6) and (y=2^6\times5^4\times7^7), what will be the power of 7 in (xy)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6ExpertMathematicsIf (x=2^{10}\times3^5\times5^8) and (y=2^7\times5^6\times11^3), what will be the power of 5 in (xy)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6ExpertMathematicsIf (a=2^8\times3^7\times5^3) and (b=2^6\times3^9\times7^2), what will be the power of 3 in (ab)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6ExpertMathematicsIf (x=2^6\times3^7\times5^5) and (y=2^8\times3^4\times5^6), how many prime factors will (xy) have if repetition is counted?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5ExpertMathematicsIf (x=2^9\times3^5\times5) and (y=2^8\times3^2\times11^2), what will be the power of 2 in (xy)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5ExpertMathematicsIf (x=2^7\times3^4\times7^5) and (y=2^5\times5^3\times7^6), what will be the power of 7 in (xy)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5ExpertMathematicsIf (x=2^9\times3^4\times5^7) and (y=2^6\times5^5\times11^3), what will be the power of 5 in (xy)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5ExpertMathematicsIf (a=2^7\times3^6\times5^2) and (b=2^5\times3^8\times7^3), what will be the power of 3 in (ab)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5ExpertMathematicsIf (x=2^5\times3^6\times5^4) and (y=2^7\times3^3\times5^5), how many prime factors will (xy) have if repetition is counted?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 4ExpertMathematicsIf (x=2^8\times3^4\times5) and (y=2^7\times3^2\times11), what will be the power of 2 in (xy)?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 4Expert