What is the Summary of the steps that Axis powers took to achieve world power prior to WWI?

I assume that you mean WWII and not WWI, since the Axis powers are a WWII thing.

In general, what the Axis did was that Germany rearmed and started to expand while Japan continued to build its military and to try to expand in China.

The Treaty of Versailles had badly weakened Germany and had essentially destroyed its military.  Germany, under Hitler, started working to remake the military.  It also took Austria and Czechoslovakia.  Finally, it made peace with the USSR as a way to secure its eastern flank.

Japan was on the winning side in WWI so it did not have to disarm and it got various German possessions.  It tried to expand its influence in China during the 1930s.