Find three numbers x, y, and z, such that $x ^ { 2 } y ^ { 3 } z = 500$ and $x + y + z$ is minimal.What is this minimal sum?

Name: Find three numbers x, y, and z, such that $x ^ { 2 } y ^ { 3 } z = 500$ and $x + y + z$ is minimal.What is this minimal sum?
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The Answer of Find three numbers x, y, and z, such that $x ^ { 2 } y ^ { 3 } z = 500$ and $x + y + z$ is minimal.What is this minimal sum?

Find Three Numbers X, Y, and Z, Such That x2y3z=500x ^ { 2 } y ^ { 3 } z = 500x2y3z=500

Find Three Numbers X, Y, and Z, Such That $x ^ { 2 } y ^ { 3 } z = 500$