If ax=bax=b, by=cby=c and cz=acz=a, find the value of xyzxyz.


Answer:

1818

Step by Step Explanation:
  1. Let's write ax=bax=b as:
    ax=b12a2x=b
    and
    by=cby=c12b2y=c
    and
    cz=acz=a12c2z=a
  2. Put the value of cc in c2z=ac2z=a
    a=(b2y)2za=b2×2×yza=b4yz
    Now put the value of bb
    a=(a2x)4yza=a2×4×xyza1=a8xyz
  3. On comparing powers in above equation,
    1=8xyzxyz=18
  4. Therefore, the value of xyz is 1818.

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