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

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Solution

Since p,q,r are prime numbers b cant be further factorised . Similarly 2,3 &5 are prime numbers. So "a "also can't be further factorised . So a=b means their factors are also equal. That is p,q,r are 2,3&5. So p+q+r=10

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