1. **State the problem:** Simplify the expression $v^{\frac{5}{7}} \times v^{\frac{1}{7}}$ assuming all variables are positive. 2. **Recall the rule for multiplying powers with the same base:** When multiplying powers with the same base, add the exponents. 3. **Apply the rule:** $$v^{\frac{5}{7}} \times v^{\frac{1}{7}} = v^{\frac{5}{7} + \frac{1}{7}}$$ 4. **Add the exponents:** $$\frac{5}{7} + \frac{1}{7} = \frac{5+1}{7} = \frac{6}{7}$$ 5. **Write the simplified expression:** $$v^{\frac{6}{7}}$$ **Final answer:** $v^{\frac{6}{7}}$