Since the debut of Marvel's MAX title Supreme Power, the Squadron Supreme characters have been reintroduced in a new, previously unexplored continuity (an alternate universe later designated as Earth-31916). The Supreme Power continuity has a version of Power Princess as well.
Living in Capitol City, she became the common-law wife of Howard Shelton (mirroring the relationship between Steve Trevor and the golden age Wonder Woman), a sailor whom she met during "the war" (possibly World War II). Howard was the sole survivor of a sinking ship and the first outsider Zarda met. Howard aged normally while Zarda appears to be the same age as she was when they met, 50–60 years earlier. For a time, the Hyperion of Earth-616 masqueraded as his Squadron Supreme counterpart and developed an attraction to Zarda. Disgusted that she was already committed to the elderly Shelton, the villainous Hyperion suffocated Sheldon and began romancing Zarda. Upon the return of the Earth-712 Hyperion, the truth was revealed and the impostor was destroyed. Although initially confused about her feelings for her teammate, Zarda and Hyperion eventually began a romantic relationship.
Defending the Earth-712 against an attack by the Nth Man, Power Princess and the Squadron Supreme were stranded on Earth-616. During this time they lived at Project Pegasus and became allies of Quasar. Some time later, with the help of the Avengers, the Squadron Supreme were returned to Earth-712.
When Proteus, the Exiles' archenemy, showed up one day, he tricked the Squadron Supreme into battling the Exiles. While the Exiles were distracted, Proteus fled to another reality. When Hyperion decided to join the Exiles, Power Princess stopped him, saying that Hyperion is needed in his own world. Power Princess then left with the Exiles to catch Proteus, despite the objections of Blink. However, under her guidance and direction, the Exiles came the closest they have ever been to beating Proteus. Unfortunately, when she threw one of the blades of Longshot, she missed Proteus and hit the Maestro instead, setting him off. The Maestro fought the Exiles, and then Proteus fought Maestro. Proteus took the body of Morph and fled, despite Zarda's plan she considered foolproof. After finally defeating Proteus by trapping him in Morph's body, Power Princess remained an Exile to continue fixing damaged realities. She also suggested that Blink bury Mimic in his home reality. Otherwise Blink would have buried him in the desert of Panoptichron. Power Princess left the team to return to the Squadron Supreme in Exiles #90, making her the first member to voluntarily quit the Exiles. She was replaced by Psylocke.
She can fly, although her upper limits are not established. She possesses a great deal of physical resiliance and durability: she is able to withstand repeated blows redirected from Hyperion. She carries a shield made of an undisclosed substance which is extremely durable. She sometimes wears a suit of armour to enhance her natural resiliance.
As a Utopian, she ages far more slowly than normal humans.
After separating, Zarda goes on a rampage, disregarding human life and private property. She attempted to remove Doctor Spectrum's power prism but the crystal's intellect contacted her. It informed her that she was "broken" in some way (apparently referring to her seeming insanity) and that it could not fix her despite her request to do so. She then was attacked by Amphibian in retaliation for harming Spectrum. We are shown through Amphibian's eyes, that both Doc Spectrum and Zarda have energy halos around them that bear an obvious resemblance to alien beings (Spectrum only exhibits this when the prism crystal takes control of him, revealing its origin and intelligence). After, Doc has no memory of the exchange, revealing further that his prism has the ability to control him when it wants to. Later, Zarda kills a woman and steals her identification in hopes of starting anew, while working in a women's clothing store.
After that she made herself known to the federal government of the United States, as Claire Debussy (it is implied that Zarda murdered the real Claire Debussy and assumed her identity, as a scorch mark in the shape of a young human female is seen on a wall overlooking a pile of ash in her apartment.) But running her background down is hard. She said that her codename is Zarda, but at her power level the government did not push it. Later a liaison officer asked her to fill in some Identification and non-disclosure forms, but Zarda lied to the officer saying she can not remember details due to an "accident". After General Richard Alexander asked why she called herself Zarda, thinking it to be an old nickname, he informed her that focus groups came up with Power Princess. After he asked her what she thought about the name, she said Princess of Power would be better, but the General said that it was already copyrighted (referring to She-Ra: Princess of Power, a cartoon related to He-Man and the Masters of the Universe).
An African general named John M'Butu, a fast-rising tribal leader gifted with a powerful psychic suggestion ability and calling himself the Voice, is leading a genocidal campaign in the Salawe region of Uganda. The US government identifies him as a super-human after he survives an assassination attempt. The team is sent to the region "to take him out", but early in the fight, Hyperion, Doctor Spectrum and Amphibian are affected by M'Butu's power to control anyone who hears his voice. M'Butu commands the trio to hunt down their comrades. Zarda immediately notices that there is another voice in Hyperion's head and not the One True Voice. Zarda manages to free Doctor Spectrum by calling to the voice within the Power Prism, which takes control of Spectrum, and frees Hyperion.
Later the Squadron are then ordered to take down insurgents in Ilam Province in Iran, an operation called "Long Walk". Zarda goes on a killing rampage. After Stanley Stewart sees her killing three unarmed solders, calling them harmless, Zarda says "Harmless, yes, for that minute. Now they are harmless tomorrow". After seeing Inertia help a little girl find and kill four of the insurgents who raped and killed her mother and older sisters, Zarda said Inertia is now like her.
Mark Milton gives a press conference of the "Long Walk" mission; at the interview, Hyperion meets Redstone and a fight starts. Zarda steps into the fight after watching from her government residence. She flies to Los Angeles, beating Redstone badly. Hyperion stops her from killing him to tell her to take Redstone's nuclear warhead out of Los Angeles up to the stratosphere so it won't detonate in the middle of downtown Los Angeles, which she does, possibly at the expense of her own life.
Later in life, Zarda decides to travel to the Ultimate universe to keep an eye on things.
In addition to all her powers, Zarda has demonstrated a love of carnage and killing, most likely linked to her ultimate (apparently) mission of conquering the human race.