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Counting Powers

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

MathematicsIf (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 6Expert MathematicsIf a number has prime factorisation (2^{10}\times3^8\times5^7\times19^2), how many prime factors are there if repetition is counted?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Expert MathematicsIf (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 5Expert MathematicsIf a number has prime factorisation (2^9\times3^7\times5^6\times17^2), how many prime factors are there if repetition is counted?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Expert MathematicsIf (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 4Expert MathematicsIf a number has prime factorisation (2^8\times3^6\times5^5\times13^2), how many prime factors are there if repetition is counted?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 4Expert MathematicsIf (x=2^4\times3^5\times5^3) and (y=2^6\times3^2\times5^4), how many prime factors will (xy) have if repetition is counted?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Hard MathematicsIf a number has prime factorisation (2^7\times3^5\times5^4\times11), how many prime factors are there if repetition is counted?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Hard MathematicsIf (x=2^3\times3^4\times5^2) and (y=2^5\times3^2\times5^3), how many prime factors will (xy) have if repetition is counted?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf a number has prime factorisation (2^6\times3^4\times5^3\times7), how many prime factors are there if repetition is counted?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf (x=2^2\times3^3\times5) and (y=2^4\times3\times5^2), how many prime factors will (xy) have if repetition is counted?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 4Hard MathematicsIf a number has prime factorisation (2^4\times3^3\times5^2), how many prime factors are there if repetition is counted?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 4Hard MathematicsIf a number has prime factorisation (2^3\times3^2\times7^2), how many prime factors does it have including repetition?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Medium MathematicsIn (2^5\times3^3\times7), how many prime factors are there if repetition is counted?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Medium MathematicsIf a number has prime factorisation (2^2\times3^3\times5), how many prime factors does it have including repetition?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Medium MathematicsIn (2^4\times3^2\times5), how many prime factors are there if repetition is counted?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Medium