Question

(x^b/x^c)^a * (x^c/x^a)^b * ( x^a/x^b) ^c​

Answer 1

Answer:

$(\frac{x^{b} }{x^{c} })^{a}$×$(\frac{x^{c} }{x^{a} })^{b}$×$(\frac{x^{a} }{x^{b} })^{c}$

=$( x^{b-c})^{a}$×$( x^{c-a})^{b}$×$( x^{a-b})^{c}$

=$( x^{b-c}*x^{c-a}*x^{a-b})^{a+b+c}$

=$(x^{b-c+c-a+a-b})^{a+b+c}$

=now we know that b-c+c-a+a-b=0

=$(x^{0})^{a+b+c$

=any number raise to the power 0 is always equals to 1 so,

$1^{a+b+c}$

1 raise to any power is always equals to1

=$(\frac{x^{b} }{x^{c} })^{a}$×$(\frac{x^{c} }{x^{a} })^{b}$×$(\frac{x^{a} }{x^{b} })^{c}$=1

hope this helped you it took a a lot of time to solve in a computer