Change to radical form: \( x^{5 / 6} \)

To express \( x^{5/6} \) in radical form, you can use the definition of fractional exponents. A fractional exponent \( \frac{a}{b} \) corresponds to the \( b \)-th root of the base raised to the \( a \)-th power. For \( x^{5/6} \): 1. **Identify the numerator and the denominator:** - Numerator (\( a \)) = 5 - Denominator (\( b \)) = 6 2. **Apply the radical form:** \[ x^{5/6} = \sqrt[6]{x^5} \] Alternatively, it can also be written as: \[ \left( \sqrt[6]{x} \right)^5 \] Both forms are correct, but the first form is typically preferred for simplicity. **Final Answer:** \[ x^{5/6} = \sqrt[6]{\,x^{\,5}\,} \]