The equivalent expression for [tex]5^{3/8}[/tex] is [tex]\sqrt[8]{5^3}[/tex]
Law of indices
Given the indices expression
[tex]5^{3/8}[/tex]
According to the exponent law of indices
[tex]a^{b/c}=\sqrt[c]{a^b}[/tex]
Comparing with the given expression
[tex]5^{3/8}=\sqrt[8]{5^3}[/tex]
Hence the equivalent expression for [tex]5^{3/8}[/tex] is [tex]\sqrt[8]{5^3}[/tex]
Learn more on indices here: https://brainly.com/question/10339517
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