Leicester roared back from an early scare against Championship side Nottingham, for whom Harry Clayton crossed twice to put them into a 12-0 lead after 22 minutes, raising the prospect of a third defeat for the Tigers following losses to Northampton Saints and Coventry.
But Leicester bounced back with four tries before the break to lead 28-12 at half-time, with Matt Rogerson, Archie Vanes, Ollie Allan and Solomone Kata going over.
In the second half the Premiership side displayed class and ruthlessness in equal proportions, running in a further six tries.
Izaia Perese, James Whitcombe, Jack Kinder, Ollie Hassell-Collins (2) and Emeka Ilione all touched down after the interval.