Serena Williams took 56 minutes to end the challenge of India's Sania Mirza 6-1 6-4 at the Australian Open.
Mirza, 18, was the first Indian woman to reach the third round of a Grand Slam but former champion Williams ensured her run would go no further.
Mirza seemed overawed in the first set and managed to win only four points on the American's serve.
She found her range in the second and had points for a 3-1 lead but Williams recovered to move into the last 16.
"I don't think it was a walk in the park," said Williams afterwards.
"I told her to keep up the good work because it was good to see someone from India for the first time do so well.
"I was excited to see someone particularly do so well from that country, and I told her to keep fighting.
"I think she has a very solid game, especially to be so young, she's only 18. I definitely see a very bright future for her."
Mirza admitted: "I had butterflies in my stomach for two days. I couldn't get to sleep last night.
"In the first set I was really tight but I was more confident as I got the feel of play.
"I had some good chances but she took her chances when it counted.
"That's the difference between girls in the top 10 and the rest of us. She played the big points better."