Question

Rational exponents: product rule
simplify
v^3/4 multiply v^5/7

Answer 1

`v\sqrt[28]{v^(13)}`

Explanation:

The exponent rules that apply are ...

`(a^b)(a^c)=a^(b+c)\\\\a^{(b)/(c)}=\sqrt[c]{a^b}`

Using these rules for your product, we have ...

`v^{(3)/(4)}* v^{(5)/(7)}=v^{(3)/(4)+(5)/(7)}\\\\=v^{(41)/(28)}=v\cdot v^{(13)/(28)}=v\sqrt[28]{v^(13)}`