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

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^{(4)/(5)}`

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)^{(1)/(n)}=x^{(m)/(n)`

Here we have n=5 and m=4

Hence, the expression in exponential form is:

`x^{(4)/(5)}`