Write the expression in radical form.

x, start superscript, start fraction, 5, divided by, 2, end fraction, end superscript

*x*25​

The expression \( x^{\frac{5}{2}} \) can be written in radical form as follows:

\[
x^{\frac{5}{2}} = \sqrt{x^5}
\]

In this form, the denominator (2) of the exponent becomes the index of the square root, and the numerator (5) remains the power of \(x\).

### Summary:
\[
x^{\frac{5}{2}} = \sqrt{x^5}
\]

Would you like more details on how exponents convert to radical form, or any further explanation?

Here are five related questions you might find interesting:
1. How would you write \( x^{\frac{3}{4}} \) in radical form?
2. How can you simplify \( \sqrt{x^6} \)?
3. What is the value of \( x^{\frac{1}{2}} \)?
4. How do you convert \( x^{\frac{n}{m}} \) to radical form in general?
5. What is the radical form of \( y^{\frac{7}{3}} \)?

**Tip:** The general rule for converting fractional exponents to radicals is \( a^{\frac{m}{n}} = \sqrt[n]{a^m} \), where \(n\) is the root and \(m\) is the power.

Write the expression in radical form.

x^(5/2)

Learn how to convert the exponential expression x^(5/2) into its radical form using the properties of exponents. This problem covers the conversion of fractional exponents into radicals and is suitable for students in Grades 9-10.

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