Lösung 1.3:1b
Aus Online Mathematik Brückenkurs 1
(Unterschied zwischen Versionen)
K (Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel)) |
K (hat „Solution 1.3:1b“ nach „Lösung 1.3:1b“ verschoben: Robot: moved page) |
Version vom 13:31, 22. Okt. 2008
Before we begin to calculate, it is worthwhile looking at the expression first and investigating whether it can be simplified using the power rules, so as to reduce the arithmetical work somewhat.
Because \displaystyle 9=3\cdot 3=3^{2}, we have
| \displaystyle 9^{-2}=\bigl( 3^{2} \bigr)^{-2}=3^{2\cdot (-2)}=3^{-4} |
and thus
| \displaystyle 3^{5}\cdot 9^{-2}=3^{5}\cdot 3^{-4}=3^{5-4}=3^1=3\,. |
