[thatwascryptic]

Reaction of rhenium metal with Re2O7 gives a solid of metallic appearance which conducts electricity almost as well as copper.  A 0.788 g sample of this material, which contains only rhenium and oxygen, was oxidized in an acidic solution of hydrogen peroxide.  Addition of an excess of KOH gave 0.973 g of KReO4.  What is the equation for the reaction of Re with Re2O7?

I'm wondering where to put the KOH into play, seeing as though the question asks about the reaction of Re with Re2O7.  Any feedback will be appreciated!

[AWK]

You should read advanced texbook to decipher this problem (eg  Chemistry of the Elements by Greenwood et al).
For the first sight look at wikipedia for different rhenium oxides. Conductivity of this intermediate oxide is a key information.