Topics
5. Exponents, Radicals, & Exponential Functions
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Algebra 1

5.05 Rational exponents

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

$6^{\frac{1}{2}}$612​ can be rewritten as:

$\sqrt[6]{2}$6√2

A

$\sqrt{6}$√6

B

$\frac{1}{6^2}$162​

C
Easy
< 1min

$15^{\frac{1}{3}}$1513​ can be rewritten as:

Easy
< 1min

The cube root of $18$18 can be written as:

Easy
< 1min

Complete the blank to make the statement true.

Easy
< 1min
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Outcomes

A.EO.4

The student will simplify and determine equivalent radical expressions involving square roots of whole numbers and cube roots of integers.

A.EO.4d

Generate equivalent numerical expressions and justify their equivalency for radicals using rational exponents, limited to rational exponents of 1/2 and 1/3 (e.g., √5 = 5^(1/2); (3)^√8=8^(1/3)=(2^(3))^(1/3)=2).

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