Convert each exponent to radical form
(5x)^1/7

To convert the expression \((5x)^{\frac{1}{7}}\) to radical form, you can follow these steps:

### Radical Form:
The exponent \(\frac{1}{7}\) indicates the 7th root. Therefore, \((5x)^{\frac{1}{7}}\) in radical form is:

\[
\sqrt[7]{5x}
\]

So, \((5x)^{\frac{1}{7}}\) converts to \(\sqrt[7]{5x}\) in radical form.

Would you like more details or have any questions? 

Here are 5 related questions:
1. How do you convert \((5x)^{\frac{3}{7}}\) to radical form?
2. What is the radical form of \((7y^2)^{\frac{2}{5}}\)?
3. How do you simplify \(\sqrt[3]{27x^3}\)?
4. What is the relationship between exponents and radicals?
5. How do you convert \(\sqrt[4]{16x^2}\) back to exponential form?

**Tip:** Remember, the denominator of a fractional exponent represents the root, while the numerator represents the power.

Learn how to convert the expression (5x)^1/7 to radical form with our step-by-step guide. Understand the relationship between exponents and radicals, and master the technique. Suitable for high school students.

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