Lösung 1.3:1b
Aus Online Mathematik Brückenkurs 1
(Unterschied zwischen Versionen)
K |
|||
| Zeile 1: | Zeile 1: | ||
| - | Before we begin to calculate, it is worthwhile looking at the expression first and investigating | + | 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. |
| - | whether it can be simplified using the power rules, so as to reduce the arithmetical work somewhat. | + | |
| - | Because | + | Because <math>9=3\cdot 3=3^{2}</math>, we have |
| - | <math>9=3\ | + | |
| - | , | + | |
| - | + | ||
| - | + | ||
| - | + | ||
| + | {{Displayed math||<math>9^{-2}=\bigl( 3^{2} \bigr)^{-2}=3^{2\cdot (-2)}=3^{-4}</math>}} | ||
and thus | and thus | ||
| - | + | {{Displayed math||<math>3^{5}\cdot 9^{-2}=3^{5}\cdot 3^{-4}=3^{5-4}=3^1=3\,</math>.}} | |
| - | <math>3^{5}\ | + | |
Version vom 12:43, 22. Sep. 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
and thus
