Answer:
[tex]\displaystyle \sqrt[4]{7^3}=7^{\frac{3}{4}}[/tex]
Step-by-step explanation:
Exponential Form of Radicals
A radical of the form
[tex]\displaystyle \sqrt[n]{x^m}[/tex]
Can be expressed in exponential form as follows:
[tex]\displaystyle \sqrt[n]{x^m}=x^{\frac{m}{n}}[/tex]
We are given the number 4th root of 7 cubed. Writing in radical form:
[tex]\displaystyle \sqrt[4]{7^3}[/tex]
It can be expressed in exponential form as:
[tex]\boxed{\displaystyle \sqrt[4]{7^3}=7^{\frac{3}{4}}}[/tex]
