Evaluate `[(2/3)^2]^3xx(1/3)^-4xx3^-1xx6^-1​`

Evaluate [((-2)/3)]^(-3)xx[1/4]^(-4) xx 3^(-1)xx1/6

Simplify: (((-2)/3)^(-2))^(3)xx(1/3)^(-4)xx3^(-1)xx1/6

Evaluate (-1)/3 xx (1/2+1/4)xx((-1)/3 xx 1/2)+((-1)/3 xx 1/4)

Evaluate : [ (2/5 )^2 ]^3 times ( 5/4 )^3 times (1/5 ) times ( 2/3 )

Evaluate : [ ( -1/3 )^2 times ( -1/3 )^3 ] ÷ [ ( -1/6 )^2 times ( -1/6 )^3 ]

Evaluate : 4^(1/3 ) times [ 2^(1/3 ) times 3^(1/2) ] ÷ 9^(1/4 )

Value of 1+-: (1/2xx1/3)xx(2/3-:bar(1/4xx1/6+6))

Evaluate : [ ( 2/5 ) ]^3 times ( 5/4 )^3 times 1/5 times 2/3

If L=-lim_(ntooo) (2xx3^(2)xx2^(3)xx3^(4)...xx2^(n-1)xx3^(n))^((1)/((n^(2)+1))) , then the value of L^(4) is _____________.