Question

Find the value of x power a minus b into x power B minus c into x power c minus a​

Answer 1

Answer:

hope you get the required answer

Answer 2

SOLUTION

CORRECT QUESTION

TO DETERMINE

The value of

$\sf{ {x}^{a - b}. {x}^{b - c} . {x}^{c - a} }$

FORMULA TO BE IMPLEMENTED

We are aware of the formula on indices that

$\sf{ {a}^{m} \times {a}^{n} = {a}^{m + n} }$

EVALUATION

Here the given expression is

$\sf{ {x}^{a - b}. {x}^{b - c} . {x}^{c - a} }$

We apply the formula

$\boxed{ \: \: \sf{ {a}^{m} \times {a}^{n} = {a}^{m + n} } \: \: }$

Thus we get

$\sf{ {x}^{a - b}. {x}^{b - c} . {x}^{c - a} }$

$\sf{ = {x}^{a - b + b - c + c - a} }$

$\sf{ = {x}^{0} }$

$\sf{ =1}$

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