Topics
5. Rational Exponents & Radical Functions
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United States of AmericaTennessee
Algebra 2

5.02 Properties of rational exponents

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Express $\sqrt{x}$√x in exponential form.

Easy
< 1min

Express $\sqrt[6]{x}$6√x in exponential form.

Easy
< 1min

Express $\sqrt[5]{x^7}$5√x7 in exponential form.

Easy
< 1min

Express $\frac{1}{\sqrt{x}}$1√x​ with a negative fractional exponent.

Easy
< 1min
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Outcomes

A2.N.RN.A.1

Extend the properties of integer exponents to rational exponents.

A2.N.RN.A.1.A

Develop the meaning of rational exponents by applying the properties of integer exponents.

A2.N.RN.A.1.B

Explain why x^(1/n) can be written as the nth root of x.

A2.N.RN.A.1.C

Rewrite expressions involving radicals and rational exponents using the properties of exponents.

A2.MP1

Make sense of problems and persevere in solving them.

A2.MP6

Attend to precision.

A2.MP7

Look for and make use of structure.

A2.MP8

Look for and express regularity in repeated reasoning.

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