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Common Core: High School - Number and Quantity : The Real Number System

Study concepts, example questions & explanations for Common Core: High School - Number and Quantity

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All Common Core: High School - Number and Quantity Resources

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Example Questions

Example Question #21 : The Real Number System

Rewrite $31^{\frac{5}{6}}$ , in radical form.

Possible Answers:

$(\sqrt[6]{31})^5$

$\sqrt[5]{\frac{31}{6}}$

$\sqrt[6]{\frac{31}{5}}$

$(\sqrt[5]{31})^6$

Correct answer:

$(\sqrt[6]{31})^5$

Explanation:

To determine what the root is, we look at the denominator of the exponent. In this case the root is , and the numerator tells us what power we are raising the entire expression to, which is .

$31^{\frac{5}{6}}=(\sqrt[6]{31})^5$

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Example Question #22 : The Real Number System

Rewrite $79^{\frac{2}{3}}$ , in radical form.

Possible Answers:

$\sqrt[]{\frac{79}{3}}$

$(\sqrt[3]{79})^2$

$(\sqrt[2]{79})^3$

$\sqrt[3]{\frac{79}{2}}$

Correct answer:

$(\sqrt[3]{79})^2$

Explanation:

To determine what the root is, we look at the denominator of the exponent. In this case the root is , and the numerator tells us what power we are raising the entire expression to, which is .

$79^{\frac{2}{3}}=(\sqrt[3]{79})^2$

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Example Question #23 : The Real Number System

Rewrite $134^{\frac{1}{2}}$ , in radical form.

Possible Answers:

$\sqrt[]{\frac{134}{2}}$

$\sqrt{134}$

$\sqrt[134]{2}$

$134^{\frac{1}{2}}$

Correct answer:

$\sqrt{134}$

Explanation:

To determine what the root is, we look at the denominator of the exponent. In this case the root is , so we will write it in the following way.

$134^{\frac{1}{2}}=\sqrt[]{134}$

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All Common Core: High School - Number and Quantity Resources

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Common Core: High School - Number and Quantity : The Real Number System

Study concepts, example questions & explanations for Common Core: High School - Number and Quantity

All Common Core: High School - Number and Quantity Resources

Example Questions

Example Question #21 : The Real Number System

Example Question #22 : The Real Number System

Example Question #23 : The Real Number System

All Common Core: High School - Number and Quantity Resources

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