A)<img src="https://tex.z-dn.net/?f=%202%5E%7B2%7D%20%2A%202%5E%7B3%7D%3D2%5E%7B2%2B3%7D%20%3D2%20x%5E%7B5%7D%20%20" />
a.
1)<img src="https://tex.z-dn.net/?f=4%5E%7B2%7D%2A4%20x%5E%7B10%7D%3D%204%5E%7B10%2B2%7D%3D%204%5E%7B12%7D%20%20%20%20" />
a.
2)<img src="https://tex.z-dn.net/?f=5%5E%7B3%7D%2A%205%5E%7B4%7D%3D%205%5E%7B3%2B4%7D%20%3D5%5E%7B7%7D%20%20%20" />
b)<img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2A%20x%5E%7B15%7D%3D%20x%5E%7B2%2B15%7D%3D%20x%5E%7B17%7D%20%20%20" />
b.
1)<img src="https://tex.z-dn.net/?f=%20z%5E%7B2%7D%2A%20z%5E%7B20%7D%3D%20z%5E%7B2%2B20%7D%3D%20z%5E%7B22%7D%20%20%20%20" />
b.
2)<img src="https://tex.z-dn.net/?f=y%5E%7B8%7D%2Ay%5E%7B11%7D%3Dy%5E%7B8%2B11%7D%3D%20y%5E%7B19%7D%20%20%20%20" />
c)<img src="https://tex.z-dn.net/?f=%2010%5E%7B12%7D%20%2F%2010%5E%7B3%7D%3D%2010%5E%7B12-3%7D%3D%2010%5E%7B9%7D%20%20%20" />
d)<img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2F%20x%5E%7B10%7D%3D%20x%5E%7B2-10%7D%3D%20x%5E%7B-8%7D%20%20%20" />
d.
1)<img src="https://tex.z-dn.net/?f=%20z%5E%7B11%7D%2F%20z%5E%7B3%7D%3D%20z%5E%7B11-3%7D%20%3D%20z%5E%7B8%7D%20" />
d.
2)<img src="https://tex.z-dn.net/?f=%20y%5E%7B3%7D%2F%20y%5E%7B2%7D%3D%20y%5E%7B1%7D%20%20%20" />
e)[img = 10]
f)[img = 11]
Aquí estan los ejemplos.
En el a, b, d hay tres de cada uno.
Cuando multiplicas y tienes la misma base, los exponentes se suman.
Cuando divides y tienes la misma base, los exponentes se restan y se conserva la base.
Saludos.