Lösung 1.3:3e

Aus Online Mathematik Brückenkurs 1

(Unterschied zwischen Versionen)
Wechseln zu: Navigation, Suche
K (Lösning 1.3:3e moved to Solution 1.3:3e: Robot: moved page)
Zeile 1: Zeile 1:
-
{{NAVCONTENT_START}}
+
The number
-
<center> [[Image:1_3_3e.gif]] </center>
+
<math>9</math>
-
{{NAVCONTENT_STOP}}
+
can be written as
 +
<math>9=3\centerdot 3=3^{2}</math>
 +
 
 +
and hence the denominator in the expression is equal to
 +
 
 +
 
 +
<math>9^{2}=\left( 3^{2} \right)^{2}=3^{2\centerdot 2}=3^{4}</math>
 +
 
 +
The whole quotient becomes
 +
 
 +
 
 +
<math>\frac{3}{9^{2}}=\frac{3^{1}}{3^{4}}=3^{1-4}=3^{^{-3}}</math>

Version vom 11:42, 15. Sep. 2008

The number \displaystyle 9 can be written as \displaystyle 9=3\centerdot 3=3^{2}

and hence the denominator in the expression is equal to


\displaystyle 9^{2}=\left( 3^{2} \right)^{2}=3^{2\centerdot 2}=3^{4}

The whole quotient becomes


\displaystyle \frac{3}{9^{2}}=\frac{3^{1}}{3^{4}}=3^{1-4}=3^{^{-3}}

Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/L%C3%B6sung_1.3:3e“