Question

(x^a/x^b) ^c × (x^b/x^c) × (x^c/x^s) ^B equals
Please help ​

Answer 1

Answer:

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Answer 2

☞︎︎︎ Solution :

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$\large \rm \rightarrow \: { \left(\dfrac{ {x}^{a} }{ {x}^{b} } \right) }^{c} \times { \left(\dfrac{ {x}^{b} }{ {x}^{c} } \right) }^{a} \times{ \left(\dfrac{ {x}^{c} }{ {x}^{a} } \right) }^{b}$

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• On Solving -

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$\large \: \: \: \rm { \left({x}^{a - b} \right)}^{c} \times { \left({x}^{b - c} \right)}^{a} \times { \left({x}^{c - a} \right)}^{b}$

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• When bases are same then the powers are added

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☆ Solving Exponent :

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$\large \: \: \: \rm { \left({a - b} \right)}^{c} \times { \left({b - c} \right)}^{a} \times { \left({c - a} \right)}^{b}$

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$\large \rm : ⇒ ac - bc + ab - ac + bc - ab$

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• Like Terms together

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$\large \rm : ⇒ ac - ac - bc + bc + ab - ab$

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= 0

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• Hence , it was Exponent

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➪ Anything raised to power 0 is 1

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= 1