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son4ous [18]
3 years ago
8

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
Mathematics
2 answers:
Stells [14]3 years ago
7 0
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.
slava [35]3 years ago
7 0
<h2>Answer:</h2>

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}}

<h2>Step-by-step explanation:</h2>

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}}

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