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Flashcards: Rational Exponents: CCSS.Math.Content.HSN-RN.A.1

Evaluate: $64^{\frac{2}{3}}$ $\displaystyle 64^{\frac{2}{3}}$

$\displaystyle 16$

$\displaystyle 64$

$\displaystyle 32$

$\displaystyle 4$

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Flashcards: Rational Exponents: CCSS.Math.Content.HSN-RN.A.1

Evaluate: $64^{\frac{2}{3}}$ $\displaystyle 64^{\frac{2}{3}}$

$\displaystyle 16$

$\displaystyle 64$

$\displaystyle 32$

$\displaystyle 4$

Report an Error Copyright Notice

Flashcards: Rational Exponents: CCSS.Math.Content.HSN-RN.A.1

Evaluate: $64^{\frac{2}{3}}$ $\displaystyle 64^{\frac{2}{3}}$

Your answer:

$\displaystyle 64$

Your answer:

$\displaystyle 32$

Your answer:

$\displaystyle 4$

Correct answer:

$\displaystyle 16$

Explanation:

To evaluate this, let's rewrite the problem.

$64^{\frac{2}{3}}=(\sqrt[3]{64})^2$ $\displaystyle 64^{\frac{2}{3}}=(\sqrt[3]{64})^2$

Now lets break down the cube root.

$(\sqrt[3]{64})^2=(\sqrt[3]{4\cdot4\cdot4})^2=(\sqrt[3]{4^3})^2=4^2=16$ $\displaystyle (\sqrt[3]{64})^2=(\sqrt[3]{4\cdot4\cdot4})^2=(\sqrt[3]{4^3})^2=4^2=16$

Flashcards: Rational Exponents: CCSS.Math.Content.HSN-RN.A.1

Evaluate: $36^{\frac{1}{2}}$ $\displaystyle 36^{\frac{1}{2}}$

$\displaystyle 18$

$\displaystyle 12$

$\displaystyle 6$

$\displaystyle 72$

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Flashcards: Rational Exponents: CCSS.Math.Content.HSN-RN.A.1

Evaluate: $36^{\frac{1}{2}}$ $\displaystyle 36^{\frac{1}{2}}$

Your answer:

$\displaystyle 18$

Your answer:

$\displaystyle 12$

Your answer:

$\displaystyle 72$

Correct answer:

$\displaystyle 6$

Explanation:

To evaluate this, let's rewrite the problem.

$36^{\frac{1}{2}}=\sqrt{36}$ $\displaystyle 36^{\frac{1}{2}}=\sqrt{36}$

Now lets break down the square root.

$\sqrt{36}=\sqrt{6\cdot6}=\sqrt{6^2}=6$ $\displaystyle \sqrt{36}=\sqrt{6\cdot6}=\sqrt{6^2}=6$

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Flashcards: Rational Exponents: CCSS.Math.Content.HSN-RN.A.1

All Common Core: High School - Number and Quantity Resources

Flashcards: Rational Exponents: CCSS.Math.Content.HSN-RN.A.1

Flashcards: Rational Exponents: CCSS.Math.Content.HSN-RN.A.1

Flashcards: Rational Exponents: CCSS.Math.Content.HSN-RN.A.1

Flashcards: Rational Exponents: CCSS.Math.Content.HSN-RN.A.1

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