In the question is given to verify the property x × (y × z) = (x × y) × z
The arrangement of the given rational number is as per the rule of associative property for multiplication.
Then, (-2/7) × (-5/6 × ¼) = ((-2/7) × (-5/6)) × ¼
LHS = (-2/7) × (-5/6 × ¼)
= (-2/7) × (-5/24)
= 10/168
RHS = ((-2/7) × (-5/6)) × ¼
= (10/42) × ¼
= 10/168
By comparing LHS and RHS
LHS = RHS
∴ 10/168 = 10/168
Hence x × (y × z) = (x × y) × z