Lösung 1.3:6f

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We can factorize the exponents 40 and 56 as

Vorlage:Displayed math

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

Vorlage:Displayed math

This shows that \displaystyle 3^{40} = 243^{8} is bigger than \displaystyle 2^{56} = 128^{8}.