Lösung 1.3:6f
Aus Online Mathematik Brückenkurs 1
We can factorize the exponents 40 and 56 as
and we then see that they have \displaystyle 2^{3} = 8 as a common factor. We can take this factor out as an "outer" exponent
This shows that \displaystyle 3^{40} = 243^{8} is bigger than \displaystyle 2^{56} = 128^{8}.