化简,3ab√a²b³÷5√b/a×2/5√a/b

化简,3ab√a²b³÷5√b/a×2/5√a/b
化简,3ab√a²b³÷5√b/a×2/5√a/b

化简,3ab√a²b³÷5√b/a×2/5√a/b
∵a²b³≥0
∴b≥0
∵b/a≥0,a/b≥0,a≠0,b≠0
∴a﹥0,b﹥0
原式=3ab√(a²b³)÷5√(b/a)×2/5√(a/b)
=3ab÷5×2/5×√(a²b³÷b/a×a/b)
=(6ab/25)×√(a²b³×a/b×a/b)
=(6ab/25)×√(a^4b)
=(6ab/25)×a²√b
=(6a³b√b)/25