To solve this problem, we can start by simplifying the expression inside the parentheses. We have:

\(\frac{1}{0.06} \div \frac{1}{0.042}\) = \(\frac{1}{0.06} \frac{0.042}{1}\) = \(\frac{0.042}{0.06}\)

Now, we can simplify the fraction by dividing both the numerator and the denominator by 0.006:

\(\frac{0.042}{0.06}\) = \(\frac{0.042/0.006}{0.06/0.006}\) = \(\frac{7}{10}\)

So, the expression inside the parentheses simplifies to 7/10.

Now, we need to raise this result to the power of -1, which is equivalent to taking its reciprocal:

\((\frac{7}{10})^{-1}\) = \(\frac{10}{7}\)

Converting this fraction to a decimal, we get approximately 1.43.

So, the final answer is 1.43,