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What is
5^((2)/(3)) in radical form?

What is $5^{\frac{2}{3}}$ in radical form?

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Evaluate integers raised to positive rational exponents

Full solution

Q. What is

5^{\frac{2}{3}}

in radical form?

Understand Exponent in Fractional Form: Understand the exponent in fractional form. $\newline$ The exponent $(\frac{2}{3})$ can be broken down into two parts: the numerator $(2)$ indicates the power to which the base $(5)$ is raised, and the denominator $(3)$ indicates the root that is taken of the base raised to that power.
Convert to Radical Form: Convert the fractional exponent to radical form. $\newline$ The expression $5^{\frac{2}{3}}$ can be rewritten as the cube root of $5$ squared, since the denominator $(3)$ represents the cube root and the numerator $(2)$ represents the square.
Write in Radical Form: Write the expression in radical form. $\newline$ The radical form of $5^{\frac{2}{3}}$ is $\sqrt[3]{5^2}$ or $\sqrt[3]{25}$ .

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