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Prime Exponents

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

MathematicsIf (n=2^8\times3^5\times5^6), by which smallest number should (n) be divided to make it a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Hard MathematicsIf a number has prime factorisation (2^8\times3^4\times5^2), what is the smallest number by which it must be multiplied to make a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Hard MathematicsIf (N=2^7\times3^5\times5^4), by which smallest number must (N) be multiplied to make it a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Hard MathematicsIf (N=2^7\times3^5\times5^4\times11^2), by which smallest number must (N) be multiplied to make it a perfect square?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 6Hard MathematicsIf (n=2^5\times3^4\times7^3), by which smallest number should (n) be divided to make it a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf a number has prime factorisation (2^7\times3^5\times5^4), what is the smallest number by which it must be multiplied to make a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf (N=2^5\times3^7\times5^2), by which smallest number must (N) be multiplied to make it a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf (N=2^7\times3^4\times5^3\times11), by which smallest number must (N) be multiplied to make it a perfect square?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 5Hard MathematicsIf (n=2^2\times3^5\times5^3), by which smallest number should (n) be divided to make it a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 4Hard MathematicsIf a number has prime factorisation (2^5\times3^2\times5^4), what is the smallest number by which it must be multiplied to make a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 4Hard MathematicsIf (N=2^4\times3^5\times5^2), by which smallest number must (N) be multiplied to make it a perfect cube?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 4Hard MathematicsIf (N=2^5\times3^4\times5^2\times7), by which smallest number must (N) be multiplied to make it a perfect square?Class 10Real NumbersFundamental Theorem of ArithmeticLevel 4Hard