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Published byAmice Josephine Pearson Modified over 4 years ago

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Lesson 8-6B Use Cube Roots and Fractional Exponents After today’s lesson, you should be able to evaluate cube roots and simplify expressions with fractional exponents. (CA Alg 2.0)

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Finding cube roots: Fractional Exponents (also called Rational Exponents) We have used radical signs to write square roots and cube roots. We can also write square roots and cube roots using fractional exponents.

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Cube Roots

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Square Roots

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The Rule The rule for fractional exponents is that the numerator of the exponent is the power and the denominator is the root. ***The root of the base must be found before we can apply the power.

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The Rule

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Examples: Rewrite using radical notation.

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You can also use fractional exponents when raising a radical to a power:

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You can reverse this process to rewrite expressions containing fractional exponents into radical form.

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We can now evaluate expressions containing rational exponents.

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