Rewrite Radical and Rational Exponent Expressions: CCSS.Math.Content.HSN-RN.A.2 - Common Core: High School - Number and Quantity

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Question

Rewrite $84^{\frac{1}{3}}$ , in radical form.

Answer

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.

$84^{\frac{1}{3}}=\sqrt[3]{84}$

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Question

Rewrite $17^{\frac{1}{5}}$ , in radical form.

Answer

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.

$17^{\frac{1}{5}}=\sqrt[5]{17}$

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Question

Rewrite $92^{\frac{3}{4}}$ , in radical form.

Answer

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 .

$92^{\frac{3}{4}}=(\sqrt[4]{92})^3$

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Question

Rewrite $59^{\frac{3}{8}}$ , in radical form.

Answer

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 .

$59^{\frac{3}{8}}=(\sqrt[8]{59})^3$

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Question

Rewrite $56^{\frac{5}{4}}$ , in radical form.

Answer

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 .

$56^{\frac{5}{4}}=(\sqrt[4]{56})^5$

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Question

Rewrite $116^{\frac{1}{5}}$ , in radical form.

Answer

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.

$116^{\frac{1}{5}}=\sqrt[5]{116}$

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Question

Rewrite $86^{\frac{1}{6}}$ , in radical form.

Answer

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.

$86^{\frac{1}{6}}=\sqrt[6]{86}$

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Question

Rewrite $111^{\frac{5}{6}}$ , in radical form.

Answer

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 .

$111^{\frac{5}{6}}=(\sqrt[6]{111})^5$

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Question

Rewrite $58^{\frac{2}{7}}$ , in radical form.

Answer

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 .

$58^{\frac{2}{7}}=(\sqrt[7]{58})^2$

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Question

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

Answer

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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Question

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

Answer

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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Question

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

Answer

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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