If a=2^p3^q5^r and b=p^2q^3r^5 , where p,q,r are primes,find the value of p+q+r, given that a=b.

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Solution

only possible values of p and q and r are p = 2 ,q =3 and r =5 respectively ( since p,q and r are primes )
p+q+r = 2+3+5 = 10

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