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Consider the following example.
Write the following in radical form.

Ask by Morrison Watson. in the United States
Mar 21,2025

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Solution

  1. Recall that an expression with a fractional exponent, , can be written in radical form as:
  2. For the given expression , the numerator 6 indicates the power and the denominator 5 indicates the index of the radical.
  3. Thus, the radical form of is:

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Beyond the Answer

Did you know that radical notation can often simplify the visuals of complex expressions? The term can be expressed in radical form as , which might look neater and make it easier to perform further operations like addition or multiplication with other radical expressions!
If you’re diving deeper into radical expressions, a common pitfall is forgetting about the base when simplifying. It’s easy to overlook that implies raised to a power that can be split into a radical and an exponent! So remember: . Balancing clarity and simplicity makes all the difference!

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