The Simplification of The Power Root

Problem

Simplify this equation

( √   ab b4 √   a  ) 1 3

Solution

( √   ab b4 √   a  ) 1 3	=	( a 1 2 b 1 2 ba 1 4  ) 1 3
	=	(a 1 - 1 2 4  b 1 - 1 2  ) 1 3
	=	(a 1 4  b - 1 2  ) 1 3
	=	a 1 12  b - 1 6