If `2^b=1` then find the value of b

Find the value of (b-7)^2

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

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 A=[[1,-1],[ 2,-1]] and B=[[a,1],[b,-1]] and (A+B)^2=A^2+B^2, then find the value of a and b .

If the maximum value of ||x-3| - |x-2|| is a and minimum value of |x-1| + |x-2| is b, then find the value of (a+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+B=pi/3a n dcosA+cos B=1, then find the value of cos((A-B)/2dot)

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