Question

Write 2^((5)/(2)) in surd form

Answer 1

`√(2^5)`

Explanation:

The applicable rule of exponents is ...

`\displaystyle a^(b/c)=\sqrt[c]{a^b}`

So, ...

`2^(5/2)=\boxed{√(2^5)}`

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This can be simplified to ...

`√(32)=4√(2)`