Question

solve this please guys
thank you

Answer 1

Hey here is your answer

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

by rearranging :-

$\frac{ {x}^{ \frac{1}{a} } }{ {x}^\frac{1}{a} } \times \frac{ {x}^{ \frac{1}{b} } }{ {x}^\frac{1}{b} } \times \frac{ {x}^{ \frac{1}{c} } }{ {x}^\frac{1}{c} }$
using identity

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{(m - n)} \\ \\ {x}^{ (\frac{1}{a} - \frac{1}{a} )} \times {x}^{ (\frac{1}{b} - \frac{1}{b} )} \times {x}^{ (\frac{1}{c} - \frac{1}{c} )} \\ \\ {x}^{0} \times {x}^{0} \times {x}^{0} \\ \\ 1 \times 1 \times 1 \: \: \\ ( {x}^{0} = 1)\\ \\ 1$

So, the answer of this question is $\bf{1}$.

hope this helps you

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Answer 2

Hope it helps you

Plz mark as brainliest