By Piers Newbery
BBC Sport at Wimbledon
Serena Williams wasted little time in seeing off 16-year-old Tatiana Golovin of France to reach the last eight.
Williams has not lost at Wimbledon since 2001
The defending champion won 6-2 6-1 in just 55 minutes, and will meet Jennifer Capriati next.
Golovin is one of the game's rising stars, having also reached the fourth round at the Australian Open, but found Williams too tough a challenge.
She lost a lengthy first service game and never recovered, with Williams' greater power proving the difference.
Top seed Williams still felt she had plenty left to prove despite her crushing win.
"I didn't think I played that well," she said. "I didn't move well and wanted to come in a little more, move the ball around more.
"But I can't complain too much. I didn't know her game at all. She has a really strong serve and a good game.
"I definitely think there's more there for when I need it."
During the match, Williams delivered a 126mph serve - the fastest ever recorded by a woman at Wimbledon.
But Golovin said she was more troubled by the top seed's groundstrokes.
"She hits deep, so it's kind of tough to do anything with the ball," she said.
"I didn't really feel I was overpowered though."
And Williams denied there was any bad feeling between her and next opponent Capriati.
"I think we have a nice rivalry, it's good, I like it," she said.
"She's a great athlete, can hit any ball at any spot and make it. I never had a problem with Jennifer."
Capriati survived a tough battle with Russia's Nadia Petrova to reach the quarter-finals.
Petrova fought hard, but her mistakes told and seventh seed Capriati triumphed 6-4 6-4.
The American, who has beaten Williams the last two times they have played, also sought to play down her rivalry with the former world number one.
Capriati celebrates victory
"She respects my game and I respect hers. We're not the best of friends but we're not enemies either," she said.
"Off court everyone has their own lives but when we come to the same work environment we see each other all the time so there's no need to be hostile."
Capriati added: "I've been getting better with every match, but as you progress each match becomes tougher.
"I think I'm playing as well as when I won my last Grand Slam, but Serena will come back stronger because she's lost the last two matches against me."