Find the value of : Q x b x c 1 b c x c x a 1 c a x a x b 1 a b

xbxc1bc xcxa1ca xaxb1abxbbcxcbc xccaxaca xaabxbab = x1cx1b x1ax1c x1bx1a = x1cx1c x1ax1a x1bx1b {REARRANGING}= 1

Find the value of :

Q. ${[\frac{x^{b}}{x^{c}}]}^{\frac{1}{b c}} . {[\frac{x^{c}}{x^{a}}]}^{\frac{1}{c a}} . {[\frac{x^{a}}{x^{b}}]}^{\frac{1}{a b}}$

{[\frac{x^{b}}{x^{c}}]}^{\frac{1}{b c}} . {[\frac{x c}{x^{a}}]}^{\frac{1}{c a}} . {[\frac{x^{a}}{x^{b}}]}^{\frac{1}{a b}} \frac{x^{\frac{b}{b c}}}{x^{\frac{c}{b c}}} . \frac{x^{\frac{c}{c a}}}{x^{\frac{a}{c a}}} . \frac{x^{\frac{a}{a b}}}{x^{\frac{b}{a b}}} = \frac{x^{\frac{1}{c}}}{x^{\frac{1}{b}}} . \frac{x^{\frac{1}{a}}}{x^{\frac{1}{c}}} . \frac{x^{\frac{1}{b}}}{x^{\frac{1}{a}}} = \frac{x^{\frac{1}{c}}}{x^{\frac{1}{c}}} . \frac{x^{\frac{1}{a}}}{x^{\frac{1}{a}}} . \frac{x^{\frac{1}{b}}}{x^{\frac{1}{b}}} {R E A R R A N G I N G} = 1