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The problem you're asking about involves converting a radical expression into its exponential form.

The expression given is:

\[
\sqrt[3]{6}
\]

In exponential form, a root can be expressed as a fractional exponent. Specifically, the cube root of a number can be written as that number raised to the power of \( \frac{1}{3} \).

So:

\[
\sqrt[3]{6} = 6^{\frac{1}{3}}
\]

This is the expression you're looking for in exponential form.

Would you like more details or have any further questions?

Here are 5 related questions for practice:

1. How would you express the square root of 9 in exponential form?
2. How would you write the 4th root of 2 in exponential notation?
3. Simplify \( 16^{\frac{1}{4}} \).
4. What is \( (6^{\frac{1}{3}})^3 \) equal to?
5. Write \( 8^{\frac{2}{3}} \) as a radical expression.

**Tip:** Remember, the general rule is \( \sqrt[n]{x} = x^{\frac{1}{n}} \).

Express the number given in exponential form. Fill the exponent in the blank given below. 3√6

Learn how to express the cube root of 6 in exponential form. This involves applying the concept of radicals and exponents, particularly converting a radical expression into a fractional exponent. Suitable for students in Grades 6-8.

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