Lösung 1.3:6b
Aus Online Mathematik Brückenkurs 1
When a power expression has a negative exponent, the expression's value decreases when the base increases. Thus
Another way to see this is to rewrite the two powers as
and because \displaystyle 0\textrm{.}5^{3} > 0\textrm{.}4^{3} (see exercise a), it follows that
i.e. \displaystyle 0\textrm{.}4^{-3} > 0\textrm{.}5^{-3}\,.
