Rational Exponents and Radical Expressions Review

• 2^3/5
• -2^3/5
• 2^5/3
• 8⁵

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

Write as a radical expression
y²⁄ ³

• 2y³
• √y³
• ∛y²
• 3y²

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CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

Simplify:

• 2
• 8
• 16
• 32

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CCSS.HSN.RN.A.2

8^5/3

• 64

• 32

• 16

• 24

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CCSS.HSN.RN.A.2

125^2/3

• 5

• 25

• 75

• 5

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CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify, write your answer with rational exponents.

 $\frac{x^{\frac{1}{2}}y^{\frac{2}{3}}}{x^{\frac{1}{4}}y^{\frac{1}{3}}}$  

•  $x^{\frac{1}{4}}y^{\frac{1}{3}}$  

•  $x^{\frac{3}{4}}y^{\frac{1}{3}}$  

•  $\frac{y^{\frac{1}{3}}}{x^{\frac{1}{4}}}$  

•  $\left(xy\right)^{\frac{1}{4}}$  

Tags

CCSS.HSA.APR.A.1

Simplify. Write your final answer using only exponents.

 $\ \ ^4\sqrt{x^8y^{12}}$  

•  $x^2y^3$  

•  $x^{\frac{1}{2}}y^{\frac{1}{3}}$  

•  $x^{\frac{1}{4}}y^{\frac{1}{8}}$  

•  $x^4y^8$  

Tags

CCSS.HSN.RN.A.2

Simplify. Write your final answer using only exponents.

 $x^{\frac{4}{5}}x^{\frac{3}{5}}$  

•  $x^{\frac{7}{5}}$  

•  $x^{\frac{1}{5}}$  

•  $x^{\frac{12}{25}}$  

•  $x^{\frac{12}{5}}$  

Tags

CCSS.HSN.RN.A.2

Simplify. Write your answer using only exponents. $\left(x^{\frac{4}{5}}y^{\frac{1}{4}}\right)^{\frac{2}{3}}$  

•  $x^{\frac{8}{15}}y^{\frac{1}{6}}$  

•  $x^{\frac{8}{5}}y^{\frac{1}{2}}$  

•  $x^{\frac{3}{4}}y^{\frac{3}{7}}$  

•  $x^{\frac{22}{15}}y^{\frac{11}{12}}$  

Tags

CCSS.HSN.RN.A.2

Simplify. Write your answer in radical form. $\frac{y^{\frac{4}{7}}}{y^{\frac{6}{7}}}$  

•  $\frac{1}{^7\sqrt{y^2}}$  

•  $^7\sqrt{y^2}$  

•  $\frac{1}{^2\sqrt{y^7}}$  

•  $-^2\sqrt{y^7}$  

Tags

CCSS.HSN.RN.A.2