Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 51/3 to be the cube root of 5 because we want (51/3)3 = 5(1/3)3 to hold, so (51/3)3 must equal 5.

13 Lesson(s)

Exponentials and Logarithms: LOUD and CLEAR!

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Huntington, IN
Environment: Suburban

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Simplify and Rewrite Radicals as Rational Exponents and Vice Versa.

Algebra I » Unit: Radical Expressions, Equations, and Rational Exponents
Algebra I » Unit: Radical Expressions, Equations, and Rational Exponents
Rogers, AR
Environment: Rural

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Rational Exponents

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Caldwell, ID
Environment: Rural

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Resources (28)

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Introduction to Exponential Functions - Rational Exponents

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Huntington, IN
Environment: Suburban

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Real Number Exponents

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Caldwell, ID
Environment: Rural

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Resources (23)

An "Exponentially" Rewarding Battle!

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Huntington, IN
Environment: Suburban

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Resources (27)

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Discovering Solutions to Exponential Equations

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Huntington, IN
Environment: Suburban

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Reflections (1)

Productive Struggle - A Pre-Spring Break Challenge of Exponential Functions

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Huntington, IN
Environment: Suburban

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This lesson (taking place on the day before spring break) is designed to keep the students engaged – rather than mentally hitting the beach early!

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Algebra I » Unit: Exponential Functions
Salem, MA
Environment: Urban

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Real Number Exponents

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Huntington, IN
Environment: Suburban

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Favorites (4)

Resources (17)

Reflections (1)

Rational Exponents

Algebra II » Unit: Exponents & Logarithms
Algebra II » Unit: Exponents & Logarithms
Fort Collins, CO
Environment: Suburban

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Resources (17)

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Properties of Exponents

Algebra II » Unit: Exponential Functions
Algebra II » Unit: Exponential Functions
Ipswich, MA
Environment: Suburban

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Fractional exponents can be used in place of radical symbol. This can make working with radicals easier in some cases.

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Resources (17)

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8th Grade Math » Unit: Gimme the Base: More with Exponents
8th Grade Math » Unit: Gimme the Base: More with Exponents
New York, NY
Environment: Urban

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Common Core Math