Properties of Rational Exponents

Front

Define rational exponent.

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@@rac{ ext{root}}{ ext{power}} = ext{radical form} = oot{4}{x^3}$$.

Front

What is the relationship between rational exponents and radicals?

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@@x^{rac{1}{2} + rac{1}{3}} = x^{rac{3}{6} + rac{2}{6}} = x^{rac{5}{6}}$$.

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@@ oot{2}{x^5}$$.

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The base is -2.

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@@ oot{2}{x^7}$$.

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@@ oot{10}{x^9}$$.

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Front

Convert @@ oot{3}{x^2}@@ to exponential form.

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@@x^{rac{2}{3}}$$.