In the anime, we got our first glimpse of Kaguya Ootosuki. Needless to say, she displayed powers that greatly exceeded that of any charcater previously shown. If you haven't seen her fight yet, watch it below
Impressive isn't it?
What exactly are her powers? ( Anime Info Only)
Mass Dimensional Teleportation
Shifting her and her enemies to another dimension instantaneously
She has the ability to shift her and others to another dimension. This differs from Obito and Kakashi as this ability is instantaneous while their's takes a period of time . The other major difference is the dimensions are much more vibrant than the dimension of Kakashi's and Obito's as their's is dull and spacey.
The other main difference is that Kaguya's teleportation can warp more than one person at a time and that she has more than one dimension
Personal Dimension Teleportion
Kaguya creates a rip in space and time to surprise her enemies
To put it simply, it is a much more refined version of the dimension portals from Bleach. Kaguya can open up a portal for however long she wants it and unlike the Bleach portals, she can travel to exactly wherever she want. Be it behind someone, another city, even planet or dimension.
The best part is, a person's presence is completely undetectable while using it. Even against Naruto's ability to detect emotion, it is completely undetectable.
Eighty Gods Vacuum Attack
Kaguya manifest fists of destructive chakra to strike her enemies
It is identical to Naruto's chakra fists, but completely different leagues of power as it easily overpowered Naruto's chakra fists and shattered Sasuke's Perfect Susano in seconds. If someone gets a direct strike from this technique, it is essentially guaranteed death.
She absolutely completely cannot die. If she loses a limb, it will grow back. If she is vaporized, she will revive. If her head is chopped, a new one will grow back. If you stab her in the heart, you will only open yourself up for an attack. If you poison her
Only way to stop her is to seal her in something equivalent to the moon. In other words, if you cannot create a moon or have a method of doing so, you have absolutely zero chance of stopping Kaguya
Creation of All Things
Manifestation of the imagination
She can create something from nothing. Whatever she wants can be made. It is essentially nigh omnipotence. The only limit to her power of her imagination
It is done by fusing Ying and Yang chakra and using mental energy to give it shape.
Let's be completely honest, the only reason why Naruto and Sasuke are alive is because the plot demands it. Even if Madara fought her, he would be beaten fairly quickly due to sheer power difference.