Question

if xy=√a,yz=√b and zx=√c, then find the value[s] of [xyz÷[abc]∧1/4]∧[abc] ,where abc is an integer

Answer 1

you should attach picture when you face trouble in complicated terms. well , if I am correct, you asked, we have to find the value of $\left[\frac{xyz}{(abc)^{1/4}}\right]^{(abc)}$

given, xy = √a , yz = √b and zx = √c

xy.yz.zx = √a.√b.√c = √(abc)
(xyz)² = (abc)½
taking square root both sides,
xyz = (abc)¼

now, $\left[\frac{xyz}{(abc)^{1/4}}\right]^{(abc)}$

= $\left[\frac{(abc)^{1/4}}{(abc)^{1/4}}\right]^{(abc)}$

= 1