Question

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

Answer 1

x ^ (4/5)
Remember square root is 1/2 power. It has an index of 2 and power of 1. If you can remember this rule you can follow it for any other conversion.

Answer 2

Answer:

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: $x^{\dfrac{4}{5}}$

Step-by-step explanation:

We are asked to represent:

     fifth root of x to the fourth power in exponential form

i.e. we have to represent : $\sqrt[5]{x^4}$ in exponential form.

We know that any expression of the form $\sqrt[n]{x^m}$ could also be represented as:

     $\sqrt[n]{x^m}=(x^m)^{\dfrac{1}{n}}=x^{\dfrac{m}{n}$

Here we have n=5 and m=4

            Hence, the expression in exponential form is:

                      $x^{\dfrac{4}{5}}$