The number $x$ is expressed as $x={{2}^{3}}\times {{3}^{2}}\times {{y}^{3}}\times {{z}^{2}}$, wh

Question

The number $x$ is expressed as $x={{2}^{3}}\times {{3}^{2}}\times {{y}^{3}}\times {{z}^{2}}$, where $y$ and $z$ are prime numbers larger than $3$. Mark claimed that $x$ is a perfect square while Henry claimed that $x$ is a perfect cube. Determine who is correct. Provide reason(s) to support your answer.

Accepted Answer

Neither Mark nor Henry is correct: $x$ is neither a perfect square nor a perfect cube.

Perfect Square vs Perfect Cube

Perfect Square vs Perfect Cube

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