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9-12 Integrated Math 2 Unit 6 Lesson 4

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K-5 Math 6-8 Math •9-12 Math

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Integrated Math 1 •Integrated Math 2 Integrated Math 3

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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

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Unit 6, Lesson 4

Positive Rational Exponents

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Integrated Math 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 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 5

ForLesson 3: Exponents That Are Unit Fractions

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

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

Problem 6

ForLesson 15: Vertex Form

Write the equation of a quadratic function that opens down and has vertex \((7,\text-2)\).