

Given 1/5 (1-1/5 (1-1/5 (1-1/5)))÷5/6
= 1/5 (1-1/5 (1-1/5 (4/5)))÷5/6
= 1/5 (1-1/5 (1-(1/5 * 4/5)))÷5/6
= 1/5 (1-1/5 (1- 4/25))÷5/6
= 1/5 (1-1/5 (21/25)))÷5/6
= 1/5 (1-(1/5 * 21/25)))÷5/6
= 1/5 (1-(21/125))÷5/6
= 1/5 (4/125)÷5/6
= (1/5 * 4/125)÷5/6
= 4/625 ÷5/6
= 4/625 * 6/5
= 24/3125
