Question

solve 3 number question

Answer 1

➡HERE IS YOUR ANSWER⬇

L.H.S.

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

= R.H.S. (Proved)

FORMULA USED :

$({ \frac{a}{b} })^{m} = \frac{ {a}^{m} }{ {b}^{m} } \\ \\ and \\ \\ ( { {a}^{m} })^{n} = {a}^{mn}$

⬆HOPE THIS HELPS YOU⬅