If `a/b=(4/3)^(-2)/(5/6)^0`, find the value of `(a/b)^(-2)`

If a : b=2:5, . find the value of (3a+2b)/(4a+b)

If a : b = 3: 8 , find the value of (4a + 3b)/(6a-b) .

If a/b=4/3, then the value of (6a+4b)/(6a-5b) is (a) -1 (b) 3 (c) 4 (d) 5

If (3)/(2) log a + (2)/(3) log b - 1 = 0 , find the value of a^(9).b^(4) .

(i) If x = (6ab)/(a + b) , find the value of : (x + 3a)/(x - 3a) + (x + 3b)/(x - 3b) . (ii) a = (4sqrt(6))/(sqrt(2) + sqrt(3)) , find the value of : (a + 2sqrt(2))/(a - 2sqrt(2)) + (a + 2sqrt(3))/(a - 2sqrt(3)) .

If [(a+b,2),( 5,a b)]=[(6, 2),( 5, 8)] , find the values of a and b .

If A=[{:(0,2),(3,-4):}] and k A =[{:(0,3a),(2b,24):}], then find the value of b-a-k.

If a = 3, b = 2 and c = -4, find the values of: 2a+3b-5c

If [(a+b,2),(5,ab)]=[(6,2),(5,8)] , then find the values of a and b respectively.