Solution 1.3:6b - Revision history

Tek at 14:48, 22 September 2008

Tek — Mon, 22 Sep 2008 14:48:23 GMT

←Older revision		Revision as of 14:48, 22 September 2008
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-	When a power expression has a negative exponent, the expression's value decreases when the base increases. Thus~~...~~	+	When a power expression has a negative exponent, the expression's value decreases when the base increases. Thus
-		+
-		+
-	~~<math>0.4^{-3}>0.5^{-3}</math>~~	+

		+	{{Displayed math\|\|<math>0\textrm{.}4^{-3} > 0\textrm{.}5^{-3}</math>.}}

	Another way to see this is to rewrite the two powers as		Another way to see this is to rewrite the two powers as

		+	{{Displayed math\|\|<math>0\textrm{.}5^{-3}=\frac{1}{0\textrm{.}5^{3}}\quad</math> and <math>\quad 0\textrm{.}4^{-3}=\frac{1}{0\textrm{.}4^3}</math>}}

-	<math>0~~.5^{-3}=~~\~~frac~~{1}~~{0.~~5^{3}~~}</math>~~	+	and because <math>0\textrm{.}5^{3} > 0\textrm{.}4^{3}</math> (see exercise a), it follows that
-	~~and~~	+
-	~~<math~~>0~~.4^{-3}=~~\~~frac~~{~~1}{0~~.~~4^{3~~}~~}</math>~~	+
-		+
-		+
-	~~and because~~	+
-	~~<math>0.5^{3}>0.~~4^{3}</math>	+
-	(see exercise a), it follows that	+
-		+
-		+
-	~~<math>\frac{1}{0.4^{3}}>\frac{1}{0.5^{3}}</math>~~	+

		+	{{Displayed math\|\|<math>\frac{1}{0\textrm{.}4^{3}} > \frac{1}{0\textrm{.}5^{3}}\,</math>,}}

-	i.e.	+	i.e. <math>0\textrm{.}4^{-3} > 0\textrm{.}5^{-3}\,</math>.
-	<math>0.4^{-3}>0.5^{-3}</math>	+

Ian — Mon, 15 Sep 2008 12:52:38 GMT

←Older revision		Revision as of 12:52, 15 September 2008
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-	{{~~NAVCONTENT_START~~}}	+	When a power expression has a negative exponent, the expression's value decreases when the base increases. Thus...
-	<~~center~~> ~~[[Image:1_3_6b~~.~~gif]]~~ </~~center~~>	+
-	{{~~NAVCONTENT_STOP~~}}	+
		+	<math>0.4^{-3}>0.5^{-3}</math>
		+
		+
		+	Another way to see this is to rewrite the two powers as
		+
		+
		+	<math>0.5^{-3}=\frac{1}{0.5^{3}}</math>
		+	and
		+	<math>0.4^{-3}=\frac{1}{0.4^{3}}</math>
		+
		+
		+	and because
		+	<math>0.5^{3}>0.4^{3}</math>
		+	(see exercise a), it follows that
		+
		+
		+	<math>\frac{1}{0.4^{3}}>\frac{1}{0.5^{3}}</math>
		+
		+
		+	i.e.
		+	<math>0.4^{-3}>0.5^{-3}</math>

Tekbot — Tue, 09 Sep 2008 08:28:43 GMT

←Older revision

Revision as of 08:28, 9 September 2008

Tekbot — Thu, 21 Aug 2008 06:31:29 GMT

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

Lina — Wed, 26 Mar 2008 15:13:11 GMT

Ny sida: {{NAVCONTENT_START}} <center> Bild:1_3_6b.gif </center> {{NAVCONTENT_STOP}}

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