Question

prove it....... .............​

Answer 1

Answer:

Step-by-step explanation:

Concept used:

When the bases are same then on multiplication the powers get added up and on division the powers get subtracted.

EG.

y^r * y^s = y^(r+s)

y^r / y^s = y^(r-s)

SOLUTION:

LHS:

(x^b/x^a)^(b+a-c) * (x^c/x^b)^(c+b-a) *(x^a/x^c)^(c+a-b)

= (x^b-a)^(b+a-c) * (x^c-b)^(c+b-a) *(x^a-c)^(c+a-b)

=(x^(b-a+c-b+a-c))^(b+a-c + a+c-b + b -a+c)

= (x^0)^0

= 1 (because x^0 = 1)

= RHS.

Hence, proved.