tag:blogger.com,1999:blog-25785383746697768142024-02-08T09:51:25.723-08:00matemáticas sexto misael narva ayalahttp://www.blogger.com/profile/07415636304809157233noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-2578538374669776814.post-42353444067900055482016-05-06T13:59:00.000-07:002016-05-06T13:59:28.474-07:00potenciación tema 1<br />
<a href="https://www.youtube.com/watch?v=bnwBXIcIi2k">https://www.youtube.com/watch?v=bnwBXIcIi2k</a><br />
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Es para verlo a aprender lo basico potenciación.<br />
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<img height="480" src="http://image.slidesharecdn.com/documentopotenciacion-150520135722-lva1-app6891/95/documento-potenciacion-6-638.jpg?cb=1432130382" width="640" /><br />
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<strong>Un número elevado a 0 es igual a 1.</strong></div>
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<strong>a<sup>0</sup> = 1</strong></div>
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6<sup>0</sup> = 1</div>
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<span class="numero_r" style="color: #990000; font-size: 1.2em; font-weight: bold; margin-right: 1em;">2. </span><strong>Un número elevado a 1 es igual a sí mismo.</strong></div>
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<strong>a<sup>1</sup> = a</strong></div>
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6<sup>1</sup> = 6</div>
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<span class="numero_r" style="color: #990000; font-size: 1.2em; font-weight: bold; margin-right: 1em;">3. </span><strong>Producto de potencias con la misma base</strong>:</div>
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Es otra <strong>potencia</strong> con <strong>la misma base</strong> y cuyo <strong>exponente</strong> es la <strong>suma de los exponentes</strong>.</div>
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<strong>a<sup>m</sup> · a <sup>n </sup>= a<sup>m+n</sup></strong></div>
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3<sup>5 </sup>· 3<sup>2 </sup>= 3<sup>5+2 </sup>= 3<sup>7</sup></div>
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<span class="numero_r" style="color: #990000; font-size: 1.2em; font-weight: bold; margin-right: 1em;">4. </span><strong>División de potencias con la misma base</strong>:</div>
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Es otra <strong>potencia</strong> con la <strong>misma base</strong> y cuyo <strong>exponente</strong> es la <strong>diferencia de los exponentes</strong>.</div>
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<strong>a<sup>m </sup>: a <sup>n </sup>= a<sup>m - n</sup></strong></div>
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3<sup>5 </sup>: 3<sup>2 </sup>= 3<sup>5 - 2 </sup>= 3<sup>3</sup></div>
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<span class="numero_r" style="color: #990000; font-size: 1.2em; font-weight: bold; margin-right: 1em; margin-top: 30px;">5. </span><strong>Potencia de una potencia</strong>:</div>
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Es otra <strong>potencia</strong> con la <strong>misma base</strong> y cuyo exponente es el <strong>producto de los exponentes</strong>.</div>
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<strong>(a<sup>m</sup>)<sup>n</sup> = a<sup>m · n </sup></strong> </div>
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(3<sup>5</sup>)<sup>3</sup> = 3<sup>15</sup> </div>
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<span class="numero_r" style="color: #990000; font-size: 1.2em; font-weight: bold; margin-right: 1em; margin-top: 30px;">6. </span><strong>Producto de potencias con el mismo exponente</strong>:</div>
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Es otra <strong>potencia</strong> con el <strong>mismo exponente</strong> y cuya <strong>base</strong> es el <strong>producto de las bases</strong>.</div>
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<strong>a<sup>n </sup>· b <sup>n </sup>= (a · b) <sup>n</sup></strong></div>
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2<sup>5 </sup>· 4<sup>5 </sup>= 8<sup>5</sup></div>
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<span class="numero_r" style="color: #990000; font-size: 1.2em; font-weight: bold; margin-right: 1em; margin-top: 30px;">7. </span><strong>Cociente de potencias con el mismo exponente</strong>:</div>
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Es otra <strong>potencia</strong> con el <strong>mismo exponente</strong> y cuya <strong>base</strong> es el <strong>cociente de las bases</strong>.</div>
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<strong>a<sup>n </sup>: b<sup>n </sup>= (a : b)<sup>n</sup></strong></div>
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6<sup>4 </sup>: 3<sup>4 </sup>= 2<sup>4</sup></div>
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Signo de una potencia de base entera</h2>
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Para determinar el <strong>signo</strong> de la <strong>potencia de un número entero </strong>tendremos en cuenta que:</div>
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<span class="numero_r" style="color: #990000; font-size: 1.2em; font-weight: bold; margin-right: 1em;">1.</span> Las <strong>potencias de exponente par</strong> son siempre <strong>positivas</strong>.</div>
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<img alt="base negativa" src="http://www.ditutor.com/numeros_naturales/images/p37.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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2<sup>6</sup> = 64</div>
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(−2)<sup>6</sup> = 64</div>
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<span class="numero_r" style="color: #990000; font-size: 1.2em; font-weight: bold; margin-right: 1em;">2.</span> Las <strong>potencias de exponente impar</strong> tiene el <strong>mismo signo</strong> de la <strong>base</strong>.</div>
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<img alt="base negativa" src="http://www.ditutor.com/numeros_naturales/images/p38.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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2<sup>3</sup> = 8</div>
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(−2)<sup>3</sup> = −8</div>
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Potencias de exponente negativo</h3>
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La <strong>potencia</strong> de un <strong>número entero</strong> con <strong>exponente negativo</strong> es igual al <strong>inverso del número</strong>elevado a <strong>exponente positivo</strong>.</div>
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<img alt="potencia" src="http://www.ditutor.com/numeros_naturales/images/p27.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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<img alt="ejemplo" src="http://www.ditutor.com/numeros_naturales/images/p41.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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<img alt="Potencias de exponente negativo" src="http://www.ditutor.com/numeros_naturales/images/p39.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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<img alt="ejercicio" src="http://www.ditutor.com/numeros_naturales/images/p40.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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Potencias de fracciones</h2>
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Para elevar una <strong>fracción</strong> a una <strong>potencia</strong> se eleva tanto el <strong>numerador</strong> como el <strong>denominador</strong> al<strong>exponente</strong>.</div>
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<img alt="potencia" src="http://www.ditutor.com/numeros_racionales/images/62.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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<img alt="potencia" src="http://www.ditutor.com/numeros_racionales/images/63.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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Potencias fraccionarias de exponente negativo</h3>
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Una <strong>potencia fraccionaria</strong> de <strong>exponente negativo</strong> es igual a la <strong>inversa de la fracción</strong> elevada a<strong>exponente positivo</strong>.</div>
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<img alt="exponente entero" src="http://www.ditutor.com/numeros_racionales/images/72.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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<img alt="exponente entero" src="http://www.ditutor.com/numeros_racionales/images/73.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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<img alt="inverso" src="http://www.ditutor.com/numeros_racionales/images/79.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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<img alt="inverso" src="http://www.ditutor.com/numeros_racionales/images/80.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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Potencias de exponente fraccionario</h3>
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<img alt="Potencias de exponente racional" src="http://www.ditutor.com/numeros_naturales/images/p33.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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<img alt="Potencias de exponente racional" src="http://www.ditutor.com/numeros_naturales/images/p34.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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Potencias de exponente fraccionario y negativo</h3>
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<img alt="Potencias de exponente racional" src="http://www.ditutor.com/numeros_naturales/images/p35.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
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<img alt="Potencias de exponente racional" src="http://www.ditutor.com/numeros_naturales/images/p36.gif" style="margin: 1.25em; max-width: 85%; padding-bottom: 0.2em; padding-top: 0.2em; vertical-align: middle;" /></div>
<div class="actividades_2_r" style="border: 0px; font-family: Verdana, Arial, Helvetica, sans-serif; font-size: 13.12px; left: 130.688px; letter-spacing: 1.312px; line-height: 1.75em; margin: 2em; padding: 0px; position: relative; text-indent: 2.5em; top: 10px; width: 784.203px; word-spacing: 2.624px;">
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<br />misael narva ayalahttp://www.blogger.com/profile/07415636304809157233noreply@blogger.com0