How many prime numbers exist in \(6^5\times35^9\times11^3\) ?
Correct Answer: Option B
Given
\(6^5\times35^9\times11^3\)
\(\Rightarrow\left(2\times3\right)^5\times\left(5\times7\right)^9\times11^3\)
\(\Rightarrow2^5\times3^5\times5^9\times7^9\times11^3\)
Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.
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