Djokovic's second-round victory improved his ideal record against the 41st-ranked Chardy to 12-0 in matches played, and 28-0 in sets won.
"I got hold of the track and won nearly all the points played".
Bautista Agut, a finalist here in 2016, finally offered Federer an opening to take control by surrendering his serve in the ninth game of the third set.
Third-seeded Del Potro, who has been playing with a cold throughout the week, was playing Borna Coric when he fell near the end of the first set. Del Potro had the knee wrapped but called it quits after losing the first set 7-5.
The world No 2 will tackle Kei Nishikori in the last eight after the eighth seed came through against American big-hitter Sam Querrey 7-6 (9-7) 6-4.
Biologists have found a gene responsible for impotence His discovery, according to experts, allows to say that sexual dysfunction in men partly is of genetic nature, reports MedikForum. Erectile dysfunction has been hard to study in part because of the differences in how patients report their symptoms.
Novak Djokovic, the hottest player on the men's tour in the second half of the year, never faced a break point in putting away Jeremy Chardy of France 6-3, 7-5 at the Shanghai Masters on Tuesday.
"I'm very grateful to play on a high level", Djokovic said. "I was aggressive when I needed to be".
Fresh off the biggest title of his career in Tokyo, Medvedev saved a break point early in the second set and that gave him momentum to grab a break of his own to force a decider.
Since Djokovic lost that French Open match to Cecchinato, he's won 28 of his 30 matches.
But the world number three exploded back to life in the northern hemisphere summer, winning Wimbledon, the Cincinnati Masters and US Open.
The 37-year-old Swiss served out the match in just under two hours to keep hopes of a third Shanghai title alive.
He will take on seventh-seeded Kevin Anderson of South Africa, whom he leads 6-1 on head-to-head. He beat the Croatian 6-4 6-3 6-1 in the US Open fourth round last month.
Rising star Zverev was similarly emphatic as he brushed aside Australia's new number one, teenager Alex de Minaur, 6-1, 6-4.