La potenciación tiene las siguientes propiedades
Multiplicación de potencias con la misma base : Se mantiene la
base y se suma los exponentes
División de potencias con la misma base : Se mantiene la base
y se resta los exponentes
Potencia de potencia : Se mantiene la base y se multiplican
los exponentes
Con lo antes mencionado se procede a
resolver los ejercicios planteados
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%28-5%29%5E%7B3%7D.4%5E%7B6%7D.%28-5%29%5E%7B2%7D%7D%7B4.%28-5%29%5E%7B4%7D%7D%20" />
<img src="https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%28-5%29%5E%7B3%2B2%7D.4%5E%7B6%7D%7D%7B4.%28-5%29%5E%7B4%7D%7D%20" />
<img src="https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%28-5%29%5E%7B5%7D.4%5E%7B6%7D%7D%7B4.%28-5%29%5E4%7D%20" />
<img src="https://tex.z-dn.net/?f=%3D%28-5%29%5E%7B5-4%7D.4%5E%7B6-1%7D" />
<img src="https://tex.z-dn.net/?f=%3D-5120" />
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%5B%28-2%29%5E%7B3%7D%5D%5E%7B4%7D.%282%5E%7B2%7D%29%5E%7B3%7D.%5B%28-3%29%5E%7B4%7D%5D%5E%7B3%7D%7D%7B2%5E%7B5%7D.%28-2%29%5E%7B5%7D.%28-3%29%5E%7B12%7D%7D" />
<img src="https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%28-2%29%5E%7B12%7D.2%5E%7B6%7D.%28-3%29%5E%7B12%7D%7D%7B2%5E%7B5%7D.%28-2%29%5E%7B5%7D.%28-3%29%5E%7B12%7D%7D%20" />
<img src="https://tex.z-dn.net/?f=%3D%28-2%29%5E%7B12-5%7D.2%5E%7B6-5%7D.%28-3%29%5E%7B12-12%7D" />
<img src="https://tex.z-dn.net/?f=%3D%28-2%29%5E%7B7%7D.2%5E%7B1%7D.%28-3%29%5E%7B0%7D" />
<img src="https://tex.z-dn.net/?f=%3D-256" />
[img = 10]
[img = 11]
[img = 12]
[img = 13]
[img = 14].