If 8n ends with 0, then it must have 5 and 2 as a factor.
But we know that only prime factor of 8n is 2.
.'. 8n = (2 x 2 x 2)n = 2n x 2n x 2n
= 16 x 9
= 144
To check HCF and LCM by using formula
HCF (a,b) x LCM (a, b) = (a x b)
or, 4 x 144 = 16 x 36
or, 576 = 576
Hence, LHS = RHS