Simplify `(frac{x^a}{x^b})^axx(frac{x^b}{x^a})^axx(frac{x^a}{x^a})^b`

Simplify: (frac{9^7}{9^15})

(x^a//x^b)^axx(x^b//x^a)^axx(x^a//x^a)^b =__

x^(frac{1}{2}) . x^(frac{5}{2}) . x^(frac{4}{3}) = _____________

Simplify X^(a(b-c))xxX^(b(c-a))xxX^(c(a-b)).

Find x^( frac{3}{5}) . x^( frac{4}{5}) . x^( frac{-2}{5}) = _____________

Simplify ((x ^(a))/( x ^(n)) ) ^(a) xx ((x ^(b))/( x ^(a)))^(a) xx (( x^(a))/( x ^(a)))^(b)

x^( frac{a}{2})= x^( frac{2}{3}) , a =_____________

(frac{1}{x})^-1 = _____________

Simplify tan^(-1)[(a cos x -b sin x)/( b cos x +a sin x)] if a/b tan x gt -1

int_(0)^(x)(a^(-x)-b^(-x))dx=