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

question 18

Essay

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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Definitions:

Enforce Payment

The legal process or measures taken to compel the payment of a debt or financial obligation.

Exculpatory Clauses

Provisions in a contract that release one party from liability for damages caused during the execution of the contract, often by negligence.

Necessaries

Necessaries refer to essential items that a person requires for basic sustenance and living, such as food, clothing, and shelter.

Contracts With Minors

Agreements made with individuals under the age of majority, which are generally voidable at the discretion of the minor, with certain exceptions.