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`

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

1.	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`
Answer» `=(x^(a(b-c)))/(x^(b(a-c)))-:(x^b/x^a)^c` `=(x^(ab-ac)/x^(ab-bc))-:x^(bc)/x^(ac)` `=x^(ab-ac-(ab-bc))*x^(ac-bc)` `=x^(ab-ac-ab+bc+ac-bc)` `=x^0` `=1`.