2.5 Properties of Rational Exponents & Radicals

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Define rational exponent.

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This property is known as the Product of Powers Property, which states that when multiplying two expressions with the same base, you can add the exponents.

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@@x^{rac{3}{4}} = oot[4]{x^3}@@.

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What is the Quotient of Powers Property?

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What is the power of a power property?

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Convert @@ oot[5]{6^{17}}@@ to an expression with a rational exponent.

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@@ oot[5]{6^{17}} = 6^{rac{17}{5}}@@.