The Power Core was the energy heart of the Dark Matter Thieves' colossal spaceship. It kept the vessel aloft over A-City for as long as it stayed whole, and its shattering after Saitama beat Boros sent the mothership plunging to the ground.
The Power Core served as the driving energy source aboard the huge spaceship flown by the Dark Matter Thieves. It enters the manga in Chapter 32 and the anime in Episode 10, during the invasion that brings Boros and his crew to Earth.
The core's job is to hold the giant ship hovering in the sky above A-City. Boros explains that no matter how much punishment the hull absorbs, the mothership will stay airborne so long as the core remains intact, which implies the vessel's levitation and every one of its systems draw from this single component. As such a supply, it can be assumed to churn out enormous quantities of energy.

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The Power Core is the energy source that powered the massive spaceship flown by the Dark Matter Thieves during their invasion of A-City. It first appears in the manga's Chapter 32 and the anime's Episode 10.
The Power Core kept the Dark Matter Thieves' giant mothership airborne above A-City. Boros explains that the ship stays in the sky and all its systems keep functioning as long as the core remains intact.
The Power Core was destroyed as a side effect of Saitama's fight with Boros. Once it broke apart, the mothership lost its support and crashed to the ground.
The Power Core belonged to the Dark Matter Thieves and underpinned Boros's flagship vessel. It can be assumed to have generated the enormous amounts of energy the ship's systems required.
The Power Core debuts in Chapter 32 of the manga and Episode 10 of the anime, during the Dark Matter Thieves' invasion arc that brings Boros to Earth.
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