In the last 24 hours, rumors of Will Smith and Jada Pinkett Smith breaking up have dominated Twitter feeds and celebrity gossip sites.

The power couple, parents to Jaden, Willow and Trey (who is from Smith's previous marriage), issued a joint statement Tuesday afternoon.

Although we are reluctant to respond to these types of press reports, the rumors circulating about our relationship are completely false . . . We are still together, and our marriage is intact, the pair told The Hollywood Reporter.

Trey Smith even took to Twitter to address the rumors of his parents splitting up.

Let me just say . . the rumors need to stop. Will and Jada aren't getting divorced, #ItsAllLies, the 19-year-old wrote.

Will and Jada split, Hurricane Irene and a 5.8 earthquake in D.C & Trace Cyrus got Brenda Song pregnant #WhatADay #SomeThingsAreJustLies, the younger Smith later added.

On Wednesday, new rumors surfaced about the couple's split, linking Pinkett Smith to singer Marc Anthony, who called it quits with wife Jennifer Lopez back in July.

Pinkett Smith has reportedly been spending time with Anthony, leaving the Men in Black star in tears, In Touch reports.

Tabloid rumors or not, it was business as usual for Smith and Pinkett Smith on Wednesday afternoon. The couple appeared to be just fine, shopping in Malibu and smiling for camears and reporters, according to TMZ.

Will Smith, 42, and Jada Pinkett, 39, were married in 1997. Their son Jaden was born in 1998, followed by the arrival of Willow in 2000.

Pinkett Smith currently stars in the TNT medical drama Hawthorne with Michael Vartan and Anthony, who has appeared multiple times as a guest star.

Smith has been busy filming Men in Black III, reuniting with Tommy Lee Jones for the third chapter of the sci-fi comedy.

As the Twitter world and Hollywood wait for more news of the couple's future, here's a photo tribute to Will and Jada, in better days.

Actor Will Smith kisses his wife Jada Pinkett-Smith
Will Smith and Jada Pinkett-Smith have been married since 1997. Reuters
Will Smith and Jada Pinkett Smith
Actress Jada Pinkett Smith and her husband actor Will Smith pose at the 2011 BET Awards in Los Angeles June 26, 2011. REUTERS
Will Smith, Jada Pinkett Smith
Oprah Winfrey stands between singer and actor Will Smith and his wife actress Jada Pinkett Smith during the taping of "Oprah's Surprise Spectacular" in Chicago May 17, 2011. Winfrey kicked off one of her last-ever national talk shows on Tuesday with hugs from Tom Hanks, Cruise and Madonna in a packed Chicago arena. REUTERS
Will Smith, Jada Pinkett Smith
Jada Pinkett Smith (L), Will Smith (C) and Willow Smith arrive at the 53rd annual Grammy Awards in Los Angeles, California, February 13, 2011. REUTERS
Will Smith and Jada Pinkett Smith
Actor Will Smith poses with his wife Jada Pinkett Smith, son Jaden and daughter Willow at the premiere of the documentary "Justin Bieber: Never Say Never" at Nokia theatre in Los Angeles February 8, 2011. The documentary opens in the U.S. on February 11. REUTERS
Will Smith, Jada Pinkett Smith
U.S. actor and producer Will Smith (L) poses with his wife Jada Pinkett Smith (C) and their child Jaden as they arrive for the premiere of "The Karate Kid" in Madrid July 21, 2010. REUTERS
Will Smith and Jada Pinkett Smith
Actor Will Smith and his wife and producer Jada Pinkett Smith arrive at the premiere of "The Karate Kid" at the Mann Village theatre in Los Angeles June 7, 2010. REUTERS
Earthquake Hollywood Twitter Tnt