To simplify the expression \((10^{-1})/(6^{0})\), we need to evaluate each part.
- \(10^{-1}\) is the same as \(\frac{1}{10}\).
- \(6^{0}\) is equal to \(1\) (any non-zero number raised to the power of \(0\) is \(1\)).
So, the expression becomes:
\[ \frac{10^{-1}}{6^{0}} = \frac{\frac{1}{10}}{1} = \frac{1}{10} \]
Thus, \((10^{-1})/(6^{0})\) simplifies to \(\frac{1}{10}\).