Answer:
[tex]v\sqrt[28]{v^{13}}[/tex]
Step-by-step explanation:
The exponent rules that apply are ...
[tex](a^b)(a^c)=a^{b+c}\\\\a^{\frac{b}{c}}=\sqrt[c]{a^b}[/tex]
Using these rules for your product, we have ...
[tex]v^{\frac{3}{4}}\times v^{\frac{5}{7}}=v^{\frac{3}{4}+\frac{5}{7}}\\\\=v^{\frac{41}{28}}=v\cdot v^{\frac{13}{28}}=v\sqrt[28]{v^{13}}[/tex]
