<?xml version="1.0" encoding="utf-8"?>
<?xml-stylesheet type="text/xsl" href="https://peda.net/:static/535/atom.xsl"?>
<feed xmlns="http://www.w3.org/2005/Atom">
<title>Potenssilaskenta ja polynomit</title>
<id>https://peda.net/id/n2NdGH</id>
<updated>2013-12-01T15:31:10+02:00</updated>
<link href="https://peda.net/id/n2NdGH:atom" rel="self" />
<link href="https://peda.net/turku/lk/oppiaineet/matematiikka/rauno/matikka-teoria/pjp#top" rel="alternate" />
<logo>https://peda.net/:static/535/peda.net.logo.bg.svg</logo>
<rights type="html">&lt;div class=&quot;license&quot;&gt;Tämän sivun lisenssi &lt;a rel=&quot;license&quot; href=&quot;https://peda.net/info&quot;&gt;Peda.net-yleislisenssi&lt;/a&gt;&lt;/div&gt;&#10;</rights>

<entry>
<title>Potenssi</title>
<id>https://peda.net/id/N3hT4j</id>
<updated>2014-04-02T22:15:27+03:00</updated>
<link href="https://peda.net/turku/lk/oppiaineet/matematiikka/rauno/matikka-teoria/pjp/potenssi#top" />
<content type="html">Potenssi on laskutoimitus, joka voidaan aina palauttaa tuloksi.&lt;br/&gt;&#10;&lt;br/&gt;&#10;[[$ 2^3=2 \cdot 2\cdot 2 $]]&lt;!-- removed: br --&gt;&lt;!-- removed: br --&gt;&lt;br/&gt;&#10;&lt;br/&gt;&#10;Yleisesti&lt;br/&gt;&#10;&lt;br/&gt;&#10;[[$ a^m=a \cdot a \cdot \ldots \cdot a\cdot a $]] (m kpl a kerrottuna itsensä kanssa)&lt;!-- removed: br --&gt;&lt;!-- removed: br --&gt;&lt;br/&gt;&#10;&lt;br/&gt;&#10;Jos kantalukuna on negatiivinen luku tarvitaan sulkeet:&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;[[$ (-2)^4=-2\cdot(-2)\cdot(-2)\cdot(-2)=16 $]] parillinen eksponentti - vastaus positiivinen&lt;!-- removed: br --&gt;&lt;br/&gt;&#10;&lt;br/&gt;&#10;[[$ (-2)^5=-2\cdot(-2)\cdot(-2)\cdot(-2)\cdot(-2)=-32 $]] pariton eksponentti - vastaus negatiivinen&lt;!-- removed: br --&gt;&lt;br/&gt;&#10;&lt;br/&gt;&#10;[[$ -2^4=-2\cdot2\cdot2\cdot2=-16 $]]  luvun 2 neljännen potenssin vastaluku - kantalukuna siis luku 2&lt;!-- removed: br --&gt;&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;span&gt;&lt;span&gt;&lt;iframe width=&quot;853&quot; height=&quot;480&quot; src=&quot;//www.youtube.com/embed/GCrNF04841Y?rel=0&amp;amp;showinfo=0&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;/span&gt;&lt;/span&gt;&lt;br/&gt;&#10;&lt;br/&gt;&#10;Tulon potenssi:&lt;br/&gt;&#10;&lt;br/&gt;&#10;[[$ (ab)^n=a^nb^n $]]&lt;br/&gt;&#10;&lt;br/&gt;&#10;Osamäärän potenssi (kantalukuna murtoluku):&lt;br/&gt;&#10;&lt;br/&gt;&#10;[[$ (\frac{a}{b})^n=\frac{a^n}{b^n} $]]&lt;br/&gt;&#10;&lt;span&gt;&lt;span&gt;&lt;iframe width=&quot;853&quot; height=&quot;480&quot; src=&quot;//www.youtube.com/embed/zUYhl6wncYQ?rel=0&amp;amp;showinfo=0&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;/span&gt;&lt;/span&gt;&lt;br/&gt;&#10;&lt;br/&gt;&#10;Samankantaisten potenssien tulo ja osamäärä:&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;span&gt;&lt;span&gt;&lt;iframe width=&quot;853&quot; height=&quot;480&quot; src=&quot;//www.youtube.com/embed/2cW6MOCW8g8?rel=0&amp;amp;showinfo=0&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;/span&gt;&lt;/span&gt;&lt;br/&gt;&#10;&lt;br/&gt;&#10;esim&lt;br/&gt;&#10;d&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;</content>
<published>2013-12-02T22:28:21+02:00</published>
</entry>

<entry>
<title>Negatiivinen eksponentti ja nolla eksponenttina</title>
<id>https://peda.net/id/3F3MGMN</id>
<updated>2014-04-02T22:09:14+03:00</updated>
<link href="https://peda.net/turku/lk/oppiaineet/matematiikka/rauno/matikka-teoria/pjp/nejne#top" />
<content type="html">&lt;h3&gt;&lt;br/&gt;&#10;Negatiivinen eksponentti:&lt;/h3&gt;&#10;&lt;br/&gt;&#10;&lt;h3&gt;[[$ a^{-m}=\frac{1}{a^m} $]]&lt;!-- removed: br --&gt;&lt;!-- removed: br --&gt;&lt;/h3&gt;&#10;&lt;span&gt;&lt;span&gt;&lt;iframe width=&quot;853&quot; height=&quot;480&quot; src=&quot;//www.youtube.com/embed/NJgxhBk0uL0?rel=0&amp;amp;showinfo=0&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;/span&gt;&lt;/span&gt;&#10;&lt;h3&gt;Luku nolla eksponenttina&lt;br/&gt;&#10;&lt;br/&gt;&#10;[[$ a^0=1 , kun  a\neq0 $]]&lt;!-- removed: br --&gt;&lt;!-- removed: br --&gt;&lt;/h3&gt;</content>
<published>2013-12-01T20:45:50+02:00</published>
</entry>

<entry>
<title>Polynomi</title>
<id>https://peda.net/id/rmLMd4F</id>
<updated>2014-04-02T22:21:46+03:00</updated>
<link href="https://peda.net/turku/lk/oppiaineet/matematiikka/rauno/matikka-teoria/pjp/polynomi#top" />
<content type="html">Polynomi:&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;span&gt;&lt;span&gt;&lt;iframe width=&quot;853&quot; height=&quot;480&quot; src=&quot;//www.youtube.com/embed/__BPpBQfzMo?rel=0&amp;amp;showinfo=0&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;/span&gt;&lt;/span&gt;&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;span&gt;&lt;span&gt;&lt;iframe width=&quot;853&quot; height=&quot;480&quot; src=&quot;//www.youtube.com/embed/Em0EG6fm9AQ?rel=0&amp;amp;showinfo=0&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;/span&gt;&lt;/span&gt;&lt;br/&gt;&#10;&lt;br/&gt;&#10;polku</content>
<published>2014-04-02T22:17:28+03:00</published>
</entry>

<entry>
<title>Polynomien laskutoimituksia</title>
<id>https://peda.net/id/HmrMFm</id>
<updated>2014-04-02T22:45:19+03:00</updated>
<link href="https://peda.net/turku/lk/oppiaineet/matematiikka/rauno/matikka-teoria/pjp/pl#top" />
<content type="html">Yhteen- ja vähennyslasku:&lt;br/&gt;&#10;&lt;span&gt;&lt;span&gt;&lt;iframe width=&quot;853&quot; height=&quot;480&quot; src=&quot;//www.youtube.com/embed/-i4DEYL3kxY?rel=0&amp;amp;showinfo=0&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;/span&gt;&lt;/span&gt;&lt;br/&gt;&#10;&lt;span&gt;&lt;span&gt;&lt;iframe width=&quot;853&quot; height=&quot;480&quot; src=&quot;//www.youtube.com/embed/BobU19mFOA4?rel=0&amp;amp;showinfo=0&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;/span&gt;&lt;/span&gt;&lt;br/&gt;&#10;&lt;br/&gt;&#10;polku&lt;br/&gt;&#10;Kertolasku:&lt;br/&gt;&#10;&lt;span&gt;&lt;span&gt;&lt;iframe width=&quot;853&quot; height=&quot;480&quot; src=&quot;//www.youtube.com/embed/0a1k6oMYHmA?rel=0&amp;amp;showinfo=0&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;/span&gt;&lt;/span&gt;&lt;br/&gt;&#10;polku</content>
<published>2014-04-02T22:24:09+03:00</published>
</entry>

<entry>
<title>Ekstra: Muistikaavat ja polynomien tekijöihin jako</title>
<id>https://peda.net/id/hFhRHdL</id>
<updated>2014-04-02T22:55:50+03:00</updated>
<link href="https://peda.net/turku/lk/oppiaineet/matematiikka/rauno/matikka-teoria/pjp/muistikaavat#top" />
<content type="html">Muistikaavat&lt;br/&gt;&#10;&lt;span&gt;&lt;span&gt;&lt;iframe width=&quot;853&quot; height=&quot;480&quot; src=&quot;//www.youtube.com/embed/sxCJElCRS7Q?rel=0&amp;amp;showinfo=0&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;/span&gt;&lt;/span&gt;&lt;br/&gt;&#10;&lt;br/&gt;&#10;polku&lt;br/&gt;&#10;&lt;br/&gt;&#10;Polynomien jakaminen tekijöihin:&lt;br/&gt;&#10;&lt;span&gt;&lt;span&gt;&lt;iframe width=&quot;853&quot; height=&quot;480&quot; src=&quot;//www.youtube.com/embed/J8ELvS-hIRI?rel=0&amp;amp;showinfo=0&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;/span&gt;&lt;/span&gt;&lt;br/&gt;&#10;&lt;br/&gt;&#10;polku</content>
<published>2014-04-02T22:48:28+03:00</published>
</entry>


</feed>