Question: Simplify. \(\sqrt{u^7}\) Assume that the variable represents a positive real number.

Simplify.

\(\sqrt{u^7}\)

Assume that the variable represents a positive real number.

Solution

To simplify the expression \(\sqrt[7]{u}\), you can express it using exponents: The 7th root of \(u\) is written as \(u\) raised to the power of \(\frac{1}{7}\). So, \(\sqrt[7]{u}\) simplifies to: \[ u^{\frac{1}{7}} \]