Question

x^a-b x^b-c x^c-a = 1

Answer 1

Hey friend,
Here is the answer you were looking for :

${x}^{a - b} \times {x}^{b - c} \times {x}^{c - a} = 1$

We know that,

${a}^{m} \times {a}^{n} = {a}^{m + n}$
${x}^{a - b + b - c + c - a} = 1 \\ \\ {x}^{0} = 1$

We know that anything with power 0 equals 1

$1 = 1$

Hence proved.

Hope this helps!!

If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.

@Mahak24

Thanks...
☺☺

Answer 2

Given
X^a-b x^b-c x^c-a = 1
Wkt

X^m*X^n= X^m+n


X^a-b+b-c+c-a= 1
X^0= 1


Hope it's help u