Question 18

If $$ \left(\frac{p^{-1} q^2}{p^3 q^{-2}}\right) + \left(\frac{p^{5} q^{-3}}{p^{-2} q^{3}}\right)^\frac{1}{3} = p^a q^b $$, then the value of a + b, where p and q are different positive primes, is

Solution

The second term will have $$p^7$$ raised to power $$\frac{1}{3}$$.

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