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((x^(b))/(x^(a)))^((1)/(nb))*((x^(c))/(x...

((x^(b))/(x^(a)))^((1)/(nb))*((x^(c))/(x^(b)))^((1)/(bc))*((x^(a))/(x^(c)))^(ac)=1

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Assuming that x is a positive real number and a,b,c are rational numbers,show that: ((x^(a))/(x^(b)))^((1)/(ab))((x^(b))/(x^(c)))^((1)/(bc))((x^(c))/(x^(a)))^((1)/(ac))=1

The value of ((x^(a))/(x^(b)))^((1)/(ab)) xx ((x^(b))/(x^(c)))^((1)/(bc)) xx ((x^(c))/(x^(a)))^((1)/(ca)) is equal to

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((x^(a))/(x^(b)))^(a+b-c)*((x^(b))/(x^(c)))^(b+c-a)*((x^(c))/(x^(a)))^(c+a-b)= a.1 b.x^(abc) c.x^(ab+bc+ca) d.x^(a+b+c)

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(x^(b)/x^(c ))^(1/(bc))xx(x^(c )/x^(a))^(1/(ca))xx(x^(a)/x^(b))^(1/(ab))

Show that : (x^(a(b-c)))/(x^(b(a-c)))*(x^(b))/(x^(a)))^(c)=1((x^(a+b))^(2)(x^(b+c))(x^(c+a))^(2))/((x^(a)x^(b)x^(c))^(4))=1

(x^(b)/(x^(c)))^(a)xx(x^(c)/(x^(a)))^(b)xx(x^(a)/(x^(b)))^(c)=1

Show that: (x^(a(b-c)))/(x^(b(a-c)))-:((x^(b))/(x^(a)))^(c)=1((x^(a+b))(x^(b+c))^(2)(x^(c+a))^(2))/((x^(a)x^(b)x^(c))^(4))=1