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7th Class Mathematics Exponents and Power Question Bank Exponent and Powers

  • question_answer
    What is the sum of the powers of the prime factors in\[72\times 192\]?

    A)  5                                

    B)  7           

    C)  8                                

    D)  12

    Correct Answer: D

    Solution :

    \[72={{2}^{3}}\times {{3}^{2}}\] (Prime factors are 1, 2, 3); Prime factors are prime numbers \[192={{2}^{6}}\times {{3}^{1}}\] (Prime factors are 1, 2, 3) \[\therefore \]  The required sum is\[3+2+6+1=12\]


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