If a=2 and b=3 then, find the value of `((1)/(a)+(1)/(b))`

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

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

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

If a=2 and b=3 then find the values of each of the following (i) a^a + b^b (ii) a^b + b^a (iii) a^b (iv) (a/b)^a (v) (1/a +1/b)^a (vi) (ab)^b

If abx^(2)=(a-b)^(2)(x+1) , then find the value of 1+(4)/(x)+(4)/(x^(2)) in terms of a and b.

If log_(sqrt8) b = 3 1/3 , then find the value of b.

If a+b+c=2, ab+bc+ca=-1 and abc=-2 , find the value of a^(3)+b^(3)+c^(3) .

If the points (a^3/(a-1),(a^2-3)/(a-1)) , (b^3/(b-1),(b^2-3)/(b-1)) , (c^3/(c-1),(c^2-3)/(c-1)) are collinear for 3 distinct values a,b,c and a!=1, b!=1, c!=1 , then find the value of abc-(ab+bc+ca)+3(a+b+c) .

If P (9a-2,-b) divides line segment joining A (3a+1,-3) and B(8a,5) in the ratio 3 : 1 , then find the values of a and b.

If A+B=pi/3a n dcosA+cos B=1, then find the value of cos((A-B)/2dot)