3.If `a+b=6` then find the value of `1/2a+1/2b`

If a=2 and b=3 , then find the value of [(1)/(a^b)+(1)/(b^a)] .

If 4(a+2)^(2)-9a+2(2a^(2)-1)=4(b+2)^(2)-9b+2(2b^(2)-1)=15 where a,b in R and a>b then find the value of 8(a-b)

If a=2 and b=3, then find the values of each of the following: ((a)/(b))^(a) (b) ((1)/(a)+(1)/(b))^(a)

If a=1,b=2 then find the value of (a^(b) + b^(a))^(-1)

24.1fa=5+2sqrt(6) and b=(1)/(a) then find the value of a^(2)+b^(2)

If tan A = (sin B)/(1 - cos B) ,then find the value of tan 2A .

If [{:(a+4,3b),(8,-6):}]=[{:(2a+2,b+2),(" "8,a-8b):}] , then find the value of (a-2b) .