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Aus Online Mathematik Brückenkurs 1

The whole expression is quite complicated, so it can be useful to simplify the terms 125312  and 2731−2  first,

1253122731−2=125312=12532=2731(−2)=27−32.

Then, the bases 125, 27 and 9 can be rewritten as

125279=525=555=53=39=333=33=33=32.

With the help of the power rules,

1253122731−2921=1253227−32921=533233−323221=533233(−32)3221=523−231=523−2+1=523−1=5531=325.