`(2!)^3!` find the value?

If x =(3/2)^2×\ (2/3)^(-4), find the value of x^(-2)dot

Given |vec(A)_(1)|=2,|vec(A)_(2)|=3 and |vec(A)_(1)+vec(A)_(2)|=3 . Find the value of (vec(A)_(1)+2vec(A)_(2)).(3vec(A)_(1)-4vec(A)_(2)) .

If A-B=30^(@)andsinA=(sqrt(3))/(2) ,then find the value of B.

If x = sqrt(3)- sqrt(2) find the value of x+(1)/(x)

If vector vecv=(1,sqrt(3)) and vector vecu=(3,-2) find the value of |3vecv-vecu|

If cos(A+B)=0andsin(A-B)=(sqrt(3))/(2) then find the value of tan(A-3B) .

If x-1/x=3+2sqrt(2) , find the value of x^3-1/(x^3)

If x-1/x=3+2sqrt(2) , find the value of x^3-\ 1/(x^3)

if (9^nxx3^2xx3^n-(27)^n)/((3^3)^5xx2^3)=1/(27), find the value of n

The line y = 3x - 2 bisects the join of (a, 3) and (2, -5), find the value of a.