Lösung 1.3:6d - Versionsgeschichte

Markus.bez: Sprache und Formulierung

Markus.bez — Mon, 08 Jun 2009 13:22:50 GMT

Sprache und Formulierung

← Nächstältere Version		Version vom 13:22, 8. Jun. 2009
Zeile 1:		Zeile 1:
-	Wir ~~verwänden~~ die Rechenregeln ~~sodass~~ die Potenz <math>\bigl(5^{\frac{1}{3}}\bigr)^{4}</math> dieselbe Basis wie <math>400^{\frac{1}{3}}</math> hat	+	Wir verwenden die Rechenregeln mit dem Ziel, dass die Potenz <math>\bigl(5^{\frac{1}{3}}\bigr)^{4}</math> dieselbe Basis wie <math>400^{\frac{1}{3}}</math> hat

	{{Abgesetzte Formel\|\|<math>\bigl(5^{\frac{1}{3}}\bigr)^{4} = 5^{\frac{1}{3}\cdot 4} = 5^{4\cdot\frac{1}{3}} = \bigl(5^{4}\bigr)^{\frac{1}{3}} = \bigl(5\cdot 5\cdot 5\cdot 5\bigr)^{\frac{1}{3}} = 625^{\frac{1}{3}}\,</math>.}}		{{Abgesetzte Formel\|\|<math>\bigl(5^{\frac{1}{3}}\bigr)^{4} = 5^{\frac{1}{3}\cdot 4} = 5^{4\cdot\frac{1}{3}} = \bigl(5^{4}\bigr)^{\frac{1}{3}} = \bigl(5\cdot 5\cdot 5\cdot 5\bigr)^{\frac{1}{3}} = 625^{\frac{1}{3}}\,</math>.}}

-	Jetzt sieht man dass <math>\bigl(5^{\frac{1}{3}}\bigr)^{4} > 400^{\frac{1}{3}}</math>, nachdem <math>625 > 400</math>, und ~~nachdem~~ der Exponent, 1/3, positiv ist.	+	Jetzt sieht man, dass <math>\bigl(5^{\frac{1}{3}}\bigr)^{4} > 400^{\frac{1}{3}}</math>, nachdem <math>625 > 400</math> und der Exponent 1/3 positiv ist.

Martin — Wed, 29 Oct 2008 13:13:25 GMT

← Nächstältere Version		Version vom 13:13, 29. Okt. 2008
Zeile 1:		Zeile 1:
-	~~One way to compare the two numbers is to rewrite the power~~ <math>\bigl(5^{\frac{1}{3}}\bigr)^{4}</math> ~~so that it has the same exponent as~~ <math>400^{\frac{1}{3}}</math>,	+	Wir verwänden die Rechenregeln sodass die Potenz <math>\bigl(5^{\frac{1}{3}}\bigr)^{4}</math> dieselbe Basis wie <math>400^{\frac{1}{3}}</math> hat

	{{Abgesetzte Formel\|\|<math>\bigl(5^{\frac{1}{3}}\bigr)^{4} = 5^{\frac{1}{3}\cdot 4} = 5^{4\cdot\frac{1}{3}} = \bigl(5^{4}\bigr)^{\frac{1}{3}} = \bigl(5\cdot 5\cdot 5\cdot 5\bigr)^{\frac{1}{3}} = 625^{\frac{1}{3}}\,</math>.}}		{{Abgesetzte Formel\|\|<math>\bigl(5^{\frac{1}{3}}\bigr)^{4} = 5^{\frac{1}{3}\cdot 4} = 5^{4\cdot\frac{1}{3}} = \bigl(5^{4}\bigr)^{\frac{1}{3}} = \bigl(5\cdot 5\cdot 5\cdot 5\bigr)^{\frac{1}{3}} = 625^{\frac{1}{3}}\,</math>.}}

-	~~Now, we see that~~ <math>\bigl(5^{\frac{1}{3}}\bigr)^{4} > 400^{\frac{1}{3}}</math>, ~~because~~ <math>625 > 400</math> ~~and the exponent~~ 1/3 ~~is positive~~.	+	Jetzt sieht man dass <math>\bigl(5^{\frac{1}{3}}\bigr)^{4} > 400^{\frac{1}{3}}</math>, nachdem <math>625 > 400</math>, und nachdem der Exponent, 1/3, positiv ist.

Tekbot — Wed, 22 Oct 2008 13:39:45 GMT

hat „Solution 1.3:6d“ nach „Lösung 1.3:6d“ verschoben: Robot: moved page

← Nächstältere Version

Version vom 13:39, 22. Okt. 2008

Tekbot — Wed, 22 Oct 2008 08:19:48 GMT

Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel)

← Nächstältere Version		Version vom 08:19, 22. Okt. 2008
Zeile 1:		Zeile 1:
	One way to compare the two numbers is to rewrite the power <math>\bigl(5^{\frac{1}{3}}\bigr)^{4}</math> so that it has the same exponent as <math>400^{\frac{1}{3}}</math>,		One way to compare the two numbers is to rewrite the power <math>\bigl(5^{\frac{1}{3}}\bigr)^{4}</math> so that it has the same exponent as <math>400^{\frac{1}{3}}</math>,

-	{{~~Displayed math~~\|\|<math>\bigl(5^{\frac{1}{3}}\bigr)^{4} = 5^{\frac{1}{3}\cdot 4} = 5^{4\cdot\frac{1}{3}} = \bigl(5^{4}\bigr)^{\frac{1}{3}} = \bigl(5\cdot 5\cdot 5\cdot 5\bigr)^{\frac{1}{3}} = 625^{\frac{1}{3}}\,</math>.}}	+	{{Abgesetzte Formel\|\|<math>\bigl(5^{\frac{1}{3}}\bigr)^{4} = 5^{\frac{1}{3}\cdot 4} = 5^{4\cdot\frac{1}{3}} = \bigl(5^{4}\bigr)^{\frac{1}{3}} = \bigl(5\cdot 5\cdot 5\cdot 5\bigr)^{\frac{1}{3}} = 625^{\frac{1}{3}}\,</math>.}}

	Now, we see that <math>\bigl(5^{\frac{1}{3}}\bigr)^{4} > 400^{\frac{1}{3}}</math>, because <math>625 > 400</math> and the exponent 1/3 is positive.		Now, we see that <math>\bigl(5^{\frac{1}{3}}\bigr)^{4} > 400^{\frac{1}{3}}</math>, because <math>625 > 400</math> and the exponent 1/3 is positive.

Tek — Mon, 22 Sep 2008 14:52:35 GMT

← Nächstältere Version		Version vom 14:52, 22. Sep. 2008
Zeile 1:		Zeile 1:
-	One way to compare the two numbers is to rewrite the power	+	One way to compare the two numbers is to rewrite the power <math>\bigl(5^{\frac{1}{3}}\bigr)^{4}</math> so that it has the same exponent as <math>400^{\frac{1}{3}}</math>,
-	<math>\~~left~~( 5^{\frac{1}{3}} \~~right~~)^{4}</math>	+
-	so that it has the same exponent as	+
-	<math>400^{\frac{1}{3}}</math>,	+

		+	{{Displayed math\|\|<math>\bigl(5^{\frac{1}{3}}\bigr)^{4} = 5^{\frac{1}{3}\cdot 4} = 5^{4\cdot\frac{1}{3}} = \bigl(5^{4}\bigr)^{\frac{1}{3}} = \bigl(5\cdot 5\cdot 5\cdot 5\bigr)^{\frac{1}{3}} = 625^{\frac{1}{3}}\,</math>.}}

-	<math>\left( 5^{\frac{1}{3}} \right)^{4}=5^{\frac{1}{3}\centerdot 4}=5^{4\centerdot \frac{1}{3}}=\left( 5^{4} \right)^{\frac{1}{3}}=\left( 5\centerdot 5\centerdot 5\centerdot 5 \right)^{\frac{1}{3}}=625^{\frac{1}{3}}</math>.	+	Now, we see that <math>\bigl(5^{\frac{1}{3}}\bigr)^{4} > 400^{\frac{1}{3}}</math>, because <math>625 > 400</math> and the exponent 1/3 is positive.
-		+
-	Now, we see that	+
-	<math>\~~left~~( 5^{\frac{1}{3}} \~~right~~)^{4}>400^{\frac{1}{3}}</math>, because	+
-	<math>625>400</math>	+
-	and the exponent	+
-	~~<math>\frac{~~1}{3~~}</math>~~	+
-	is positive.	+

Ian — Mon, 15 Sep 2008 12:56:24 GMT

← Nächstältere Version		Version vom 12:56, 15. Sep. 2008
Zeile 1:		Zeile 1:
-	{{~~NAVCONTENT_START~~}}	+	One way to compare the two numbers is to rewrite the power
-	<~~center~~> ~~[[Image:1_3_6d.gif]]~~ </~~center~~>	+	<math>\left( 5^{\frac{1}{3}} \right)^{4}</math>
-	{{~~NAVCONTENT_STOP~~}}	+	so that it has the same exponent as
		+	<math>400^{\frac{1}{3}}</math>,
		+
		+
		+	<math>\left( 5^{\frac{1}{3}} \right)^{4}=5^{\frac{1}{3}\centerdot 4}=5^{4\centerdot \frac{1}{3}}=\left( 5^{4} \right)^{\frac{1}{3}}=\left( 5\centerdot 5\centerdot 5\centerdot 5 \right)^{\frac{1}{3}}=625^{\frac{1}{3}}</math>.
		+
		+	Now, we see that
		+	<math>\left( 5^{\frac{1}{3}} \right)^{4}>400^{\frac{1}{3}}</math>, because
		+	<math>625>400</math>
		+	and the exponent
		+	<math>\frac{1}{3}</math>
		+	is positive.

Tekbot — Tue, 09 Sep 2008 08:29:23 GMT

← Nächstältere Version

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Tekbot — Thu, 21 Aug 2008 06:31:49 GMT

Robot: Automated text replacement (-[[Bild: +[[Image:)

Lina — Wed, 26 Mar 2008 15:14:24 GMT

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