Question
`(x^a/x^b)^(1/(ab))` `(x^b/x^c)^(1/(bc))` `(x^c/x^a)^(1/(ca))`
Answer: Option A
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Given Exp. `[x^(a - b)]^(1/(ab))`.`[x^(b - c)]^(1/(bc))`. `[x^-(c - a)]^(1/((ca))`
=`x^(((a - b)) /(ab))`.`x^(((b - c))/(bc))`. `x^(((c - a))/(ca))`
= `x^{{((a - b))/(ab) + ((b - c))/(bc) + ((c - a))/(ca)}}`
=`x^((1/b -1/a) + (1/c - 1/b) + (1/a - 1/c))` = `x^0` = 1.
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