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Show that : (i) x^(a(b-c))/(x^(b(a-c)))/...

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

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Let's solve the given problems step by step. ### Problem (i): Show that: \[ \frac{x^{a(b-c)}}{x^{b(a-c)}} \div \left(\frac{x^b}{x^a}\right)^c = 1 \] ...
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Show that: (i)\ (x^(a-b))^(a+b)\ (x^(b-c))^(b+c)\ (x^(c-a))^(c+a)=1 (ii)\ {(x^(a-a^(-1)))^(1/(a-1))}^(a/(a+1))=x

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(x^a/x^b)^(a+b).(x^b/x^c)^(b+c).(x^c/x^a)^(c+a)

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