QuestionAugust 11, 2025

Question Write the expression in radical form. x^(4)/(5) Answer

Question Write the expression in radical form. x^(4)/(5) Answer
Question
Write the expression in radical form.
x^(4)/(5)
Answer

Solution
4.1(222 votes)

Answer

\sqrt[5]{x^4} Explanation 1. Understand the fractional exponent The expression x^{\frac{4}{5}} represents a power where the numerator is the power and the denominator is the root. 2. Convert to radical form Use the formula x^{\frac{a}{b}} = \sqrt[b]{x^a} to convert. Here, a=4 and b=5.

Explanation

1. Understand the fractional exponent<br /> The expression $x^{\frac{4}{5}}$ represents a power where the numerator is the power and the denominator is the root.<br /><br />2. Convert to radical form<br /> Use the formula $x^{\frac{a}{b}} = \sqrt[b]{x^a}$ to convert. Here, $a=4$ and $b=5$.
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