Question

pls type the answer if u know​

Answer 1

Answer:

$(\frac{x^{a} }{x^{b} } )^{\frac{1}{ab} } (\frac{x^{b} }{x^{c} } )^{\frac{1}{bc} } (\frac{x^{c} }{x^{a} } )^{\frac{1}{ca} }$ = 1

Step-by-step explanation:

$(\frac{x^{a} }{x^{b} } )^{\frac{1}{ab} } (\frac{x^{b} }{x^{c} } )^{\frac{1}{bc} } (\frac{x^{c} }{x^{a} } )^{\frac{1}{ca} }$

= $(\frac{x^{(a)({\frac{1}{ab} })} }{x^{(b)({\frac{1}{ab} })} }) (\frac{x^{(b)({\frac{1}{bc} })} }{x^{(c)({\frac{1}{bc} })} }) (\frac{x^{(c)({\frac{1}{ca} })} }{x^{(a)({\frac{1}{ca} })} })$

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

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

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

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

= 1