Question

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

Answer 1

Answer:

  $v\sqrt[28]{v^{13}}$

Step-by-step explanation:

The exponent rules that apply are ...

$(a^b)(a^c)=a^{b+c}\\\\a^{\frac{b}{c}}=\sqrt[c]{a^b}$

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

$v^{\frac{3}{4}}\times v^{\frac{5}{7}}=v^{\frac{3}{4}+\frac{5}{7}}\\\\=v^{\frac{41}{28}}=v\cdot v^{\frac{13}{28}}=v\sqrt[28]{v^{13}}$