Question

prove that (x^a/x^b)^1/ab ×(x^b/x^c)^1/bc×(x^c/x^a)^1/ac =1​

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

(x^a/x^b)^1/ab ×(x^b/x^c)^1/bc×(x^c/x^a)^1/ac =1​

=x^a-b/ab*x^b-c/bc*x^c-a/ac

=x^a-b/ab+b-c/bc+c-a/ac

=x^[ac-bc+ab-ac+cb-ab]/abc

=x^0/abc

=x^0

=1

l.h.s=r.h.s

hence proved