A number $x$ factors as $2^4\cdot7^4$. What is $\sqrt{x}$?
\(x = 2^4 \cdot 7^4\\ \sqrt{x} = \sqrt{2^4 \cdot 7^4} = 2^{4/2} \cdot 7^{4/2} = 4\cdot 49 = 196\)