Answer:
[tex]\sqrt[3]{(7x)^5}[/tex]
Although it can also be written as (but not recommended):
[tex]\sqrt[3/5]{7x}[/tex] or [tex](\sqrt[3]{7x})^5[/tex]
Step-by-step explanation:
If principal root n of x is equal to x to the power of 1/n, then we can write it out as [tex]\sqrt[n]{x} =x^{1/n}[/tex]
Therefore, [tex](7x)^{5/3} = ((7x)^5)^{1/3} = \sqrt[3]{(7x)^5}[/tex]
