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Find the value of x^3 y^3 z^-3xyz if x^2 y^2 z^2= 83 and x y z =15?
Most Upvoted Answer
Find the value of x^3 y^3 z^-3xyz if x^2 y^2 z^2= 83 and x y z =15?
Solution:


Given:


  • x^2 y^2 z^2 = 83

  • x y z = 15



To find:


  • x^3 y^3 z^-3xyz



Steps to solve the problem:


  • Step 1: Find the value of xyz

  • Step 2: Substitute the value of xyz in x^3 y^3 z^-3xyz

  • Step 3: Simplify the expression



Step 1: Find the value of xyz

Given, x y z = 15

Multiplying the given equations, we get:
x^2 y^2 z^2 = 83

Squaring both sides of x y z = 15, we get:
x^2 y^2 z^2 = 225

Equating the two equations, we get:
225 = 83
This is not possible.

Therefore, there is an error in the given data.

Conclusion:

As there is an error in the given data, we cannot find the value of x^3 y^3 z^-3xyz.
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Find the value of x^3 y^3 z^-3xyz if x^2 y^2 z^2= 83 and x y z =15?
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