His compatriot Livingstone then hammered five fours and four maximums at the back end to take Punjab Kings to 209 for 9.
The Kings bowlers then rallied to limit RCB to 155 for nine to stay alive in the competition.
Kagiso Rabada (3/21) snared three wickets, while Rahul Chahar (2/37) and Rishi Dhawan (2/36) accounted for two RCB batters each.
For RCB, death over specialist Harshal Patel (4/34) and spinner Wanindu Hasaranga (2/15) were the top bowlers.
Brief Score:
Punjab Kings 209 for 9 in 20 overs (Liam Livingstone 70, Jonny Bairstow 66; Harshal Patel 4/34 ,Wanindu Hasaranga 2/15)
Royal Challengers Bangalore 155 for 9 in 20 overs (Glenn Maxwell 35, Rajat Pitidar 26; Kagiso Rabada 3/21)
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Bidar: A 22-year-old rider, Mahesh, died on the spot while another was grievously injured in a head-on collision between motorbikes near Basava Nagar in Bhalki taluk on Saturday night.
The deceased, Mahesh, was a resident of Kuntesirsi village in Bhalki taluk. The second rider, Vivekananda (36), who is a resident of Navadgi village, is being treated at a hospital in Bidar.
Mahesh was reportedly riding from Bhalki to Kuntesirsi when his bike collided head-on with Vivekananda’s bike. Mahesh died on the spot due to the intensity of the collision.
A case has been registered at the Bhalki Town Police Station and the officers are probing the incident.