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9-12 Algebra 2 Unit 4 Lesson 4

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K-5 Math 6-8 Math •9-12 Math

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Algebra 1 Geometry •Algebra 2 Extra Support Materials for Algebra 1

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Unit 1 Unit 2 Unit 3 •Unit 4 Unit 5 Unit 6 Unit 7 Unit 8

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Lesson 1 Lesson 2 Lesson 3 •Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20

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Unit 4, Lesson 4

Positive Rational Exponents

Algebra 2

Practice

Problem 1

Evaluate \(8^{\frac53}\).

Problem 2

Select all expressions that are equal to \(64^{\frac32}\).

96
\(8^3\)
512
\(4^2\)
\(\sqrt{64^3}\)
\(\sqrt[3]{64}^2\)

Problem 3

Write the expression \(17^{\frac43}\) using radicals.

Problem 4

ForLesson 8: The $n^{\text{th}}$ Term

An arithmetic sequence \(k\) starts 4, 13, . . . . Explain how you would calculate the value of the 5,000th term.

Problem 5

ForLesson 2: Square Roots and Cube Roots

Select all items equivalent to \(\sqrt{24}\).

the area of a square with side length 24 units
the side length of a square with area 24 square units
the positive number \(x\), where \(x \boldcdot x = 24\)
the positive number \(y\), where \(y = 24 \boldcdot 24\)
the edge length of a cube with volume 24 cubic units
the volume of a cube with edge length 24 units

Problem 6

ForLesson 3: Exponents That Are Unit Fractions

Which expression is equivalent to \(23^{\frac12}\)?

\(\frac{1}{23} \)
\(\frac{1}{\sqrt{23}}\)
11.5
\(\sqrt{23}\)