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Unit: Rational exponents & radicals

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Possible mastery points

Exponent properties review

Learn
Multiplying & dividing powers (integer exponents)
(Opens a modal)
Powers of products & quotients (integer exponents)
(Opens a modal)
Practice
Multiply & divide powers (integer exponents)Get 5 of 7 questions to level up!
Powers of products & quotients (integer exponents)Get 3 of 4 questions to level up!
Properties of exponents challenge (integer exponents)Get 3 of 4 questions to level up!

Radicals

Learn
Intro to square roots
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Understanding square roots
(Opens a modal)
Intro to cube roots
(Opens a modal)
Square root of decimal
(Opens a modal)
5th roots
(Opens a modal)
Practice
Square rootsGet 5 of 7 questions to level up!
Cube rootsGet 5 of 7 questions to level up!
Roots of decimals & fractionsGet 3 of 4 questions to level up!
4th & 5th rootsGet 3 of 3 questions to level up!

Quiz 1

Level up on the above skills and collect up to 700 Mastery points

Rational exponents intro

Learn
Intro to rational exponents
(Opens a modal)
Rewriting roots as rational exponents
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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 2

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

Advanced exponent & radical evaluation

Learn
Evaluating fractional exponents
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Evaluating fractional exponents: negative unit-fraction
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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!

Simplifying square roots

Learn
Simplifying square roots
(Opens a modal)
Simplifying square roots (variables)
(Opens a modal)
Simplifying square-root expressions
(Opens a modal)
Simplifying square roots review
(Opens a modal)
Practice
Simplify square rootsGet 3 of 4 questions to level up!
Simplify square roots (variables)Get 3 of 4 questions to level up!
Simplify square-root expressionsGet 3 of 4 questions to level up!

Simplifying radicals (higher-index roots)

Learn
Simplifying higher-index roots
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Simplifying cube root expressions
(Opens a modal)
Simplifying cube root expressions (two variables)
(Opens a modal)
Simplifying higher-index root expressions
(Opens a modal)

Quiz 3

Level up on the above skills and collect up to 400 Mastery points
Up next for you:

Unit test

Level up on all the skills in this unit and collect up to 1600 Mastery points!

About this unit

Learn about expressions with rational exponents like x^(2/3), about radical expressions like √(2t^5), and about the relationship between these two forms of representation. Learn how to evaluate and simplify such expressions.