Rational Exponents

Re-write using a rational exponent:  $\sqrt{x}$  

•  $x^{\frac{1}{2}}$  

•  $\frac{x}{2}$  

•  $\frac{1}{2}x$  

•  $x^2$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Re-write using rational exponents:

• $a^{\frac{3}{2}}$

• $a^{\frac{2}{3}}$

• $a^{1.5}$

• $\frac{a^2}{3}$

• $\frac{1}{a^{\frac{2}{3}}}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Which expression is equivalent:  $a^{-\frac{4}{3}}$  

•  $a^{\frac{3}{4}}$  

•  $-a^{\frac{3}{4}}$  

•  $\frac{1}{a^{\frac{4}{3}}}$  

•  $\frac{1}{a^{\frac{3}{4}}}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Re-write in radical form:  $x^{\frac{3}{2}}$  

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Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Evaluate:

• $-16$

• $-256$

• $\frac{1}{-16}$

• $\frac{1}{8}$

• $\frac{1}{16}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

• 48

• 12

• 64

• 512

• $\frac{1}{48}$

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Evaluate:

• $\frac{2}{3}$

• $-\frac{2}{3}$

• $\frac{3}{2}$

• $-\frac{3}{2}$

• $-\frac{16}{81}$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $a^{\frac{1}{2}}\cdot a^{\frac{1}{3}}$  

•  $a^{\frac{1}{6}}$  

•  $a^{\frac{2}{6}}$  

•  $a^{\frac{2}{5}}$  

•  $a^{\frac{5}{6}}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

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• 
• 
• 
• 

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify:  

•  $x^{-\frac{2}{3}}$  

•  $x^{-\frac{1}{6}}$  

•  $x^{\frac{2}{3}}$  

•  $x^{\frac{1}{6}}$  

•  $x^{\frac{1}{5}}$  

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2