Radicals & Rational Exponents

which of the following is the index

• a

• b

• c

Tags

CCSS.HSN.RN.A.2

We do not have to write the index if it is

• 2

• 1

• 3

• 0

an exponent 1/2 means

• square root

• cube root

• fourth root

• fifth root

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

• 
• 
• 
• 

Tags

CCSS.HSN.RN.A.2

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

•  $x^{\frac{1}{2}}$  

•  $\frac{x}{2}$  

•  $\frac{1}{2}x$  

•  $x^2$  

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

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.2

• 48

• 12

• 64

• 512

• $\frac{1}{48}$

Tags

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.8.EE.A.1

Evaluate:

• $\frac{2}{3}$

• $-\frac{2}{3}$

• $\frac{3}{2}$

• $-\frac{3}{2}$

• $-\frac{16}{81}$

Tags

CCSS.HSN.RN.A.2

Write the following expression in radical form:

• a.)
• b.)
• c.)
• d.)

Tags

CCSS.HSN.RN.A.2