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Define rational exponents.

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@@ ext{The radical form is } \, \, \\sqrt{x}.$$

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@@ ext{The radical form is } \, \, \\sqrt[4]{x^3}.$$

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What is the relationship between rational exponents and roots?

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@@ ext{The radical form is } \, \, \\sqrt[4]{3^5}.$$

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@@ ext{The radical form is } \, \, \\sqrt[3]{y}.$$

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@@ ext{The radical form is } \, \, \\sqrt[7]{x^{13}}.$$

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@@ ext{The radical form is } \, \, \\sqrt[10]{x}.$$

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@@ ext{The exponential form is } \, \, x^{rac{1}{3}}.$$

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@@ ext{The exponential form is } \, \, (2x)^{rac{2}{3}}.$$