Answer:
Option B
Increases
Step-by-step explanation:
to solve this problem, let us plug in figures to replace the variables in the equation.
Let y be equals to the rational exponent which represents the cube root of x^m,
The equation is given as y =[tex]\sqrt[3]{x^{m}}[/tex]
let x= 3
and m =, 3, 4, and 5
when m = 3, we have [tex]y =\sqrt[3]{3^{3}} =3[/tex]
when m = 4, we have [tex]y =\sqrt[3]{3^{4}} =4.33[/tex]
when m = 5, we have [tex]y =\sqrt[3]{3^{5}} =6.24[/tex]
As we can see, the values of y are increasing. Hence, we can say that the value of the rational exponent increases as y increases
