Given that \(a\) and \(b\) are positive integers and \( a^b×b^a =800 \). Obtain \(a\) and \( b\).
 
The value of \(a\) \(=\)
 
The value of \(b\) \(=\)
Answer variants:
\(5\)
\(10\)
\(2\)
\(1\)