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    Determining whether or not an expression is multiplicative.

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    Is this expression multiplicative? Justify your answer.

    f(n)=1, n>1. Factor n into a product of primes,n=p1^k1*
    then set f(n)= (-1)^k1+k2+...+kr.

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    Solution Preview

    Yes it is.
    We need to show f(n)f(m)=f(nm)
    Given two integers n and m, suppose n=p1^k1*p2^k2*...*pr^kr,
    Then ...

    Solution Summary

    It is determined whether or not an expression is multiplicative. The expert factors products of prime functions.