If a rational exponent represents the cube root of x^m, where m is a positive integer, how does the rational exponent change as m increases?

The rational exponent as m increases.

a. increases

b. decreases

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 =

let x= 3

and m =, 3, 4, and  5

when m = 3, we have

when m = 4, we have

when m = 5, we have

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

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step-by-step explanation:

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