Radical and Rational Exponents

Front

What is a radical exponent?

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What does the denominator of a rational exponent represent?

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The denominator of a rational exponent corresponds to the index of the radical expression.

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@@ ext{The radical form is } oot{3}{x}@@.

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What is the index of the radical @@ oot{4}{x}@@?

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The index of the radical is 4.

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@@ ext{The radical form is } oot{2}{x^5}@@.

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What is the relationship between radical and rational exponents?

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Radical exponents can be expressed as rational exponents, where the root is the denominator and the power is the numerator.

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What is the value of @@ oot{2}{16}@@?

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The value is 4, since 4 squared equals 16.

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@@ ext{The radical form is } oot{4}{x^3}@@.

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The value is 1.

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What is the expression for the cube root of x in exponent form?

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