Question

How do you convert a radical expression to a rational exponent and vice versa?

Answer 1

Take  the expression  x^2/3  which has an exponent  of 2/3.  The top of the fraction refers to the power  - that is  x^2 ( x squared). and the 3 indicates  a cubic root.

So in radical form  it is  ∛(x^2)

Converting radical to exponent  an example would be

∛(x^5)   =  x^(5/3)    

Answer 2

Converting a radical expression to a rational exponent and vice versa can be done by using the formula for the same.

What is the formula for converting a radical expression to a rational exponent and vice versa?

• The formula for converting a radical expression to a rational exponent and vice versa is,

                   $x^{\frac{a}{b} } =\sqrt[b]{x^{a} }$

For example,  

• $x^{\frac{3}{5} } =\sqrt[5]{x^{3} }$  
• $(3x)^{\frac{5}{6} } =\sqrt[6]{3x^{5} }$

Learn more about radical expression here:

brainly.com/question/1846941