Verified Answer :

The answer is the last expression. 5^2/3 means you square the five then find the cubic root. 5 squared is equal to 25. Then you find the cubic root.

Answer: \(\sqrt[3]{25}\) is equivalent to the given expression.

Step-by-step explanation:

Given expression, \(5^{2/3}\)

we can write, \(5^{2/3}\) = \((5^2)^{1/3}\) (because, \(a^{mn}= (a^m)^n\))

⇒ \(5^{2/3}\) = \((25)^{1/3}\)

⇒ \(5^{2/3}\) =  \(\sqrt[3]{25}\)

(because,we can write,  \(x^{1/n}=\sqrt[n]{x}\))