Rational and Radical Expressions

Simplify.
 $36^{\frac{3}{2}}$  

Simplify.
 $\left(4^{\frac{1}{2}}\right)^3$   

Simplify.
 $25^{-\frac{3}{2}}$  

Simplify.

 $\left(2^{-\frac{2}{5}}\right)^5$  

Simplify.

 $\left(\frac{8}{27}\right)^{\frac{2}{3}}$  

What is the index of the expression  $^4\sqrt{a^5}$  ?

• 5

• 4

• 1

What is the degree of the expression  $^3\sqrt{x^2}$  ?

• 3

• 2

• 1

What is the radicand of the expression  $^{ }\sqrt{m^5n^5p^3}$ ?

•  $m^5n^5p^3$  

•  $mnp$  
  

•  $m^5n^5p^5$  
  

Give the radical expression  $x^{\frac{2}{3}}$ .

•  $\sqrt{x^3}$  

•  $^3\sqrt{x^2}$  
  

•  $^2\sqrt{x^3}$  
  

Give the rational expression of  $^3\sqrt{x^3y^2}$ .

•  $x^3y^{\frac{2}{3}}$  

•  $\left(x^3y^2\right)^{\frac{1}{3}}$  
  

•  $\left(xy\right)^{\frac{2}{3}}$