From Förberedande kurs i matematik 1

Revision as of 08:24, 9 September 2008 (edit) Tekbot (Talk | contribs) m (Lösning 1.3:3e moved to Solution 1.3:3e: Robot: moved page) ← Previous diff		Current revision (13:46, 22 September 2008) (edit) (undo) Tek (Talk | contribs) m
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-	{{NAVCONTENT_START}}	+	The number 9 can be written as <math>9=3\cdot 3=3^{2}</math> and hence the denominator in the expression is equal to
-	<center> [[Image:1_3_3e.gif]] </center>	+
-	{{NAVCONTENT_STOP}}	+	{{Displayed math||<math>9^{2} = (3^{2})^{2} = 3^{2\cdot 2} = 3^{4}\,</math>.}}
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		+	The whole quotient becomes
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		+	{{Displayed math||<math>\frac{3}{9^{2}}=\frac{3^{1}}{3^{4}}=3^{1-4}=3^{^{-3}}</math>.}}

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Current revision

The number 9 can be written as \displaystyle 9=3\cdot 3=3^{2} and hence the denominator in the expression is equal to

\displaystyle 9^{2} = (3^{2})^{2} = 3^{2\cdot 2} = 3^{4}\,.

The whole quotient becomes

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