Respuesta :

Answer:

  [tex]\sqrt{2^5}[/tex]

Step-by-step explanation:

The applicable rule of exponents is ...

  [tex]\displaystyle a^{b/c}=\sqrt[c]{a^b}[/tex]

So, ...

  [tex]2^{5/2}=\boxed{\sqrt{2^5}}[/tex]

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This can be simplified to ...

  [tex]\sqrt{32}=4\sqrt{2}[/tex]