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Verified Answer :

merlynthewhizz

given the expression: \(5^{ \frac{1}{3}}\)

Applying the indices law ⇒ \(a^{ \frac{m}{n}}= (\sqrt[n]{a} )^m\)

\(5^{ \frac{1}{3}}= (\sqrt[3]{5}})^1= \sqrt[3]{5}\)⇒ This is the radical expression

Answer:

the radical expression of \((5)^\left (1/3 \right)\) is, \((\sqrt[3]{5} )\)

Step-by-step explanation:

An algebraic expression that contains radicals is called radical expression.

to simplify this expression we use product and quotient rules to simply.

Simplify: \((5)^\left (1/3 \right)\)

Use :  \(\sqrt[n]{a^m}=a^\left ( m/n \right )\)

\((5)^\left (1/3 \right)\)=\((\sqrt[3]{5} )\)            [use quotient rule]

Therefore, the radical expression of \((5)^\left (1/3 \right)\) is,  \((\sqrt[3]{5} )\)



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