This problem presents the Bonferroni correction & Šidák corrections.  The link takes you to the Wikipedia page where both corrections are explained in detail (along with an explanation for why they probably should be called the Dunn-Bonferroni & Dunn-Šidák corrections).

Both corrections provide an adjusted $\displaystyle \alpha_{{\text{pw}}}$ that would result in a desired $\displaystyle \alpha_{{\text{fw}}}$.  The Šidák provides the more “accurate” correction, but the Bonferroni provides the “easier” calculation.  For $\displaystyle {c}$ contrasts (or comparisons), the Bonferroni adjustment is $\displaystyle \alpha_{{\text{pc}}}=\frac{\alpha_{{\text{fw}}}}{{c}}$ and the Šidák adjustment is $\displaystyle \alpha_{{\text{pc}}}={1}-{\sqrt[{{c}}]{{{1}-\alpha_{{\text{fw}}}}}}$

You are conducting a 1-way fixed-effects ANOVA with 6 groups.  After obtaining a statistically significant omnibus result, you want to examine all possible pairwise comparisons.  You want an experiment-wise significance level of $\displaystyle \alpha_{{\text{fw}}}={0.05}$.

The Dunn-Bonferroni adjustment is:
      $\displaystyle \alpha_{{\text{pc}}}=$
The Dunn-Šidák adjustment is:
      $\displaystyle \alpha_{{\text{pc}}}=$
To compare the two methods, report answers accurate to 5 decimal places.

Questions for reflection:  How different are the numbers?  How might these values be used to obtain “adjusted” confidence intervals for the difference in means for pairs of groups being compared?