Question

What is 4th root 7 cubed
in exponential form? Edge

Answer 1

`\displaystyle \sqrt[4]{7^3}=7^{(3)/(4)}`

Explanation:

Exponential Form of Radicals

A radical of the form

`\displaystyle \sqrt[n]{x^m}`

Can be expressed in exponential form as follows:

`\displaystyle \sqrt[n]{x^m}=x^{(m)/(n)}`

We are given the number 4th root of 7 cubed. Writing in radical form:

`\displaystyle \sqrt[4]{7^3}`

It can be expressed in exponential form as:

`\boxed{\displaystyle \sqrt[4]{7^3}=7^{(3)/(4)}}`