Answer: [tex]\sqrt[3]{25}[/tex] is equivalent to the given expression.
Step-by-step explanation:
Given expression, [tex]5^{2/3}[/tex]
we can write, [tex]5^{2/3}[/tex] = [tex](5^2)^{1/3}[/tex] (because, [tex]a^{mn}= (a^m)^n[/tex])
⇒ [tex]5^{2/3}[/tex] = [tex](25)^{1/3}[/tex]
⇒ [tex]5^{2/3}[/tex] = [tex]\sqrt[3]{25}[/tex]
(because,we can write, [tex]x^{1/n}=\sqrt[n]{x}[/tex])
