# Divisors in powers and multiplications

Fill in the blank:

$$a$$ and $$b$$ are positive integers such that $$\hspace{20cm}$$

• $$a^b$$ has exactly 5 positive divisors;
• $$b^a$$ has exactly 7 positive divisors;
• $$a\times b$$ has exactly $$\text{_______}$$ positive divisors.
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