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Unit: Rational exponents and radicals

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Possible mastery points

Rational exponents

Learn
Intro to rational exponents
(Opens a modal)
Rewriting roots as rational exponents
(Opens a modal)
Exponential equation with rational answer
(Opens a modal)
Practice
Unit-fraction exponentsGet 3 of 4 questions to level up!
Fractional exponentsGet 3 of 4 questions to level up!
Rational exponents challengeGet 3 of 4 questions to level up!

Properties of exponents (rational exponents)

Learn
Rewriting quotient of powers (rational exponents)
(Opens a modal)
Rewriting mixed radical and exponential expressions
(Opens a modal)
Practice
Properties of exponents intro (rational exponents)Get 3 of 4 questions to level up!
Properties of exponents (rational exponents)Get 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 500 Mastery points

Evaluating exponents & radicals

Learn
Evaluating fractional exponents
(Opens a modal)
Evaluating fractional exponents: negative unit-fraction
(Opens a modal)
Evaluating fractional exponents: fractional base
(Opens a modal)
Evaluating quotient of fractional exponents
(Opens a modal)
Evaluating mixed radicals and exponents
(Opens a modal)
Practice
Evaluate radical expressions challengeGet 3 of 4 questions to level up!

Equivalent forms of exponential expressions

Learn
Rewriting exponential expressions as A⋅Bᵗ
(Opens a modal)
Equivalent forms of exponential expressions
(Opens a modal)
Practice
Rewrite exponential expressionsGet 3 of 4 questions to level up!
Equivalent forms of exponential expressionsGet 3 of 4 questions to level up!

Solving exponential equations using properties of exponents

Learn
Solving exponential equations using exponent properties
(Opens a modal)
Solving exponential equations using exponent properties (advanced)
(Opens a modal)
Practice
Solve exponential equations using exponent propertiesGet 3 of 4 questions to level up!
Solve exponential equations using exponent properties (advanced)Get 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 500 Mastery points
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Unit test

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About this unit

In middle school, students learned about integer powers—first positive and then also negative. In Algebra 2, we extend this concept to include rational powers. We will define how they work, and use them to rewrite exponential expressions in various ways.