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	<title>Comments on: Sergeant Loi&#8217;s Mid-Year Boot Camp 2008 &#8211; Obey The Rules of Indices!</title>
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	<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices</link>
	<description>Sassy O Level Maths Tuition, Questions &#38; Tips from Singapore&#039;s Favourite Private Tutor</description>
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		<title>By: Miss Loi</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-34089</link>
		<dc:creator>Miss Loi</dc:creator>
		<pubDate>Sun, 17 Jan 2010 16:20:28 +0000</pubDate>
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		<description>&lt;b&gt;mel:&lt;/b&gt; Miss Loi is glad that you asked this question (about &lt;em&gt;fractional indices&lt;/em&gt;) dear :D

When we have something like [pmath]a^{-{m/n}}[/pmath]:
&lt;ol&gt;
&lt;li&gt;The &lt;strong&gt;denominator&lt;/strong&gt; &lt;var&gt;n&lt;/var&gt; of the power represents the &lt;strong&gt;&lt;var&gt;n&lt;/var&gt;&lt;sup&gt;th&lt;/sup&gt;-root&lt;/strong&gt; of &lt;var&gt;a&lt;/var&gt; e.g. [pmath]2^{1/3}=root{3}{2}[/pmath]&lt;/li&gt;
&lt;li&gt;The &lt;strong&gt;negative sign&lt;/strong&gt; in the power (regardless of whether it&#039;s a fraction or whole number) &#8658; the &lt;strong&gt;inverse&lt;/strong&gt; of &lt;var&gt;a&lt;/var&gt; (to the equivalent positive power) e.g. [pmath]2^{-1/3}=1/{root{3}{2}}[/pmath]&lt;/li&gt; 
&lt;/ol&gt;

So as an e.g. to sum it up further, [pmath]2^{-2/3}=1/({root{3}{2}})^2[/pmath]

Use your calculator to check if the above can be written as [pmath]1/{root{3}{2^2}}[/pmath] as well? ;)</description>
		<content:encoded><![CDATA[<p><b>mel:</b> Miss Loi is glad that you asked this question (about <em>fractional indices</em>) dear <img src='http://www.exampaper.com.sg/blog/wp-includes/images/smilies/icon_biggrin.gif' alt=':D' class='wp-smiley' /> </p>
<p>When we have something like <img src="http://www.exampaper.com.sg/wp-content/plugins/wpmathpub/phpmathpublisher/img/math_994_1415d14347eb61ec82c2c48755bcfa20.png" style="vertical-align:-6px; display: inline-block ;" alt="a^{-{m/n}}" title="a^{-{m/n}}"/>:</p>
<ol>
<li>The <strong>denominator</strong> <var>n</var> of the power represents the <strong><var>n</var><sup>th</sup>-root</strong> of <var>a</var> e.g. <img src="http://www.exampaper.com.sg/wp-content/plugins/wpmathpub/phpmathpublisher/img/math_994_3b54eb58301583bf355e29e8d60f2c41.png" style="vertical-align:-6px; display: inline-block ;" alt="2^{1/3}=root{3}{2}" title="2^{1/3}=root{3}{2}"/></li>
<li>The <strong>negative sign</strong> in the power (regardless of whether it's a fraction or whole number) &rArr; the <strong>inverse</strong> of <var>a</var> (to the equivalent positive power) e.g. <img src="http://www.exampaper.com.sg/wp-content/plugins/wpmathpub/phpmathpublisher/img/math_968_b82f468b190bf2804d22dff762a018d4.png" style="vertical-align:-32px; display: inline-block ;" alt="2^{-1/3}=1/{root{3}{2}}" title="2^{-1/3}=1/{root{3}{2}}"/></li>
</ol>
<p>So as an e.g. to sum it up further, <img src="http://www.exampaper.com.sg/wp-content/plugins/wpmathpub/phpmathpublisher/img/math_930_830f22aa2274b07e551a0fd3a5ce934a.png" style="vertical-align:-70px; display: inline-block ;" alt="2^{-2/3}=1/({root{3}{2}})^2" title="2^{-2/3}=1/({root{3}{2}})^2"/></p>
<p>Use your calculator to check if the above can be written as <img src="http://www.exampaper.com.sg/wp-content/plugins/wpmathpub/phpmathpublisher/img/math_968_606281860dcc2f5f7f2cdfd726ba98d2.png" style="vertical-align:-32px; display: inline-block ;" alt="1/{root{3}{2^2}}" title="1/{root{3}{2^2}}"/> as well? <img src='http://www.exampaper.com.sg/blog/wp-includes/images/smilies/icon_wink.gif' alt=';)' class='wp-smiley' /> </p>
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	<item>
		<title>By: mel</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-33473</link>
		<dc:creator>mel</dc:creator>
		<pubDate>Tue, 29 Dec 2009 10:44:42 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-33473</guid>
		<description>what happens if the power is a fraction or a negative fraction ?</description>
		<content:encoded><![CDATA[<p>what happens if the power is a fraction or a negative fraction ?</p>
]]></content:encoded>
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		<title>By: tohkiatshengKEN</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-8072</link>
		<dc:creator>tohkiatshengKEN</dc:creator>
		<pubDate>Thu, 01 May 2008 06:19:46 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-8072</guid>
		<description>O.O
what the...</description>
		<content:encoded><![CDATA[<p>O.O<br />
what the...</p>
]]></content:encoded>
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	<item>
		<title>By: Sergeant Loi</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-7970</link>
		<dc:creator>Sergeant Loi</dc:creator>
		<pubDate>Mon, 28 Apr 2008 06:30:51 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-7970</guid>
		<description>Still ask so many questions?! &lt;strong&gt;TEN MORE PUSH-UPS FOR YOU!!!&lt;/strong&gt;

Try to be funny again and you&#039;ll be further punished with 10&lt;sup&gt;&lt;var&gt;x&lt;/var&gt;&lt;/sup&gt; push-ups - where &lt;var&gt;x&lt;/var&gt; = no. of silly questions asked!</description>
		<content:encoded><![CDATA[<p>Still ask so many questions?! <strong>TEN MORE PUSH-UPS FOR YOU!!!</strong></p>
<p>Try to be funny again and you'll be further punished with 10<sup><var>x</var></sup> push-ups - where <var>x</var> = no. of silly questions asked!</p>
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		<title>By: FoxTwo</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-7961</link>
		<dc:creator>FoxTwo</dc:creator>
		<pubDate>Mon, 28 Apr 2008 00:03:44 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-7961</guid>
		<description>uh, what&#039;s &quot;it&quot;? Why do you want to knock it down anyway?</description>
		<content:encoded><![CDATA[<p>uh, what's "it"? Why do you want to knock it down anyway?</p>
]]></content:encoded>
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		<title>By: Sergeant Loi</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-7944</link>
		<dc:creator>Sergeant Loi</dc:creator>
		<pubDate>Sun, 27 Apr 2008 14:32:47 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-7944</guid>
		<description>Those of you who just winked at Sergeant Loi KNOCK IT DOWN TWENTY!!!</description>
		<content:encoded><![CDATA[<p>Those of you who just winked at Sergeant Loi KNOCK IT DOWN TWENTY!!!</p>
]]></content:encoded>
	</item>
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		<title>By: FoxTwo</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-7943</link>
		<dc:creator>FoxTwo</dc:creator>
		<pubDate>Sun, 27 Apr 2008 12:16:55 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-7943</guid>
		<description>Wah... a powerful authority figure.....

I know some people would like that... *wink*</description>
		<content:encoded><![CDATA[<p>Wah... a powerful authority figure.....</p>
<p>I know some people would like that... *wink*</p>
]]></content:encoded>
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		<title>By: krisandro</title>
		<link>http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-7919</link>
		<dc:creator>krisandro</dc:creator>
		<pubDate>Sat, 26 Apr 2008 18:23:17 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/tuition-notes/a-maths-tips/sergeant-lois-mid-year-boot-camp-2008-obey-the-rules-of-indices#comment-7919</guid>
		<description>OooOoo.... whip!

*looks at Sergeant Loi and winks*

Are there students reading this? I mean.. reallllly young ones? :D</description>
		<content:encoded><![CDATA[<p>OooOoo.... whip!</p>
<p>*looks at Sergeant Loi and winks*</p>
<p>Are there students reading this? I mean.. reallllly young ones? <img src='http://www.exampaper.com.sg/blog/wp-includes/images/smilies/icon_biggrin.gif' alt=':D' class='wp-smiley' /> </p>
]]></content:encoded>
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