Which of the following represents fifth root of x to the fourth power in exponential form? 4x5 5x4 x to the five fourths power x to the four fifths power

The expression that  represents fifth root of x to the fourth power in exponential form is:

          x to the four fifths power i.e. it is represented as:

We are asked to represent:

     fifth root of x to the fourth power in exponential form

i.e. we have to represent : in exponential form.

We know that any expression of the form could also be represented as:

Here we have n=5 and m=4

            Hence, the expression in exponential form is:

It must have the same slope as the given line, so

m = -A/B = -1/-2 = 1/2

So far, we have

y = mx + b = x/2 + b

Use the given point to find b.

4 = -2/2 + b = -1 + b

b = 5

y = x/2 + 5

Multiply through by 2.

2y = x + 10

Standard form:

x - 2y = -10