Act 3: Rational exponents to Radical expression

Express $\left(2x\right)^{\frac{1}{2}}$ in radical form. 

•  $2\sqrt{x}$  

•  $\sqrt{2x}$  

•  $x\sqrt{2}$  

•  $\sqrt{2x^{\frac{1}{2}}}$  

What is the index of the expression $\left(5a\right)^{\frac{2}{3}}$ when written in radical form? 

• 5

• 2

• a

• 3

Which of the following is the equivalent of $\left(\sqrt{2xy}\right)^3$  in expressions with rational exponents.

•  $\left(2xy\right)^{\frac{2}{3}}$  

•  $\left(2xy\right)^{\frac{3}{2}}$  

•  $2\left(xy\right)^{\frac{3}{2}}$  

•  $2xy$  

Which of the following is the equivalent of  $^3\sqrt{4}$ in the expression with rational exponents? 

•  $4^{\frac{1}{3}}$  

•  $3^4$  

•  $4^3$  

•  $3^{\frac{1}{4}}$  

Which of the following is a radical expression?

• $^3\sqrt{2a}$

• $ax^2\ +\ by\ =\ c$

• $x\ +\ y\ =\ C$

• none

In the expression $\left(2x\right)^{\frac{1}{2}}$ , what is radicand? 

•  $2\sqrt{x}$  

•  $\sqrt{2x}$  

•  $x\sqrt{2}$  

•  $2x$  

Identify the index of the expression $\left(2xy\right)^{\frac{3}{5}}$  when written in radical form.

•  $5$  

•  $3$  

•  $xy$  

•  $2$  

Which of the following is the equivalent of $\left(3\sqrt{2xy}\right)^3$ in expression with rational exponents? 

•  $3\left(2xy\right)^{\frac{2}{3}}$  

•  $\left(2xy\right)^{\frac{3}{2}}$  

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

•  $2xy$  

Which of the following is the equivalent of $4^{\frac{1}{3}}$ in radical form?

•  $^3\sqrt{4}$  

•  $\sqrt{4}$  

•  $^4\sqrt{3}$  

•  $\sqrt{3}$  

Which of the following is the equivalent of $^3\sqrt{5}$ in expression with rational exponent? 

•  $5^{\frac{1}{3}}$  

•  $5^4$  

•  $4^3$  

•  $3^{\frac{1}{4}}$