1. **State the problem:** Simplify the expression $b^{3/5} \cdot b^{4/2}$ assuming all variables are positive. 2. **Recall the rule for multiplying powers with the same base:** $$b^m \cdot b^n = b^{m+n}$$ 3. **Apply the rule:** $$b^{3/5} \cdot b^{4/2} = b^{3/5 + 4/2}$$ 4. **Simplify the exponent sum:** $$3/5 + 4/2 = 3/5 + 2 = \frac{3}{5} + \frac{10}{5} = \frac{13}{5}$$ 5. **Write the simplified expression:** $$b^{13/5}$$ 6. **Express the answer in the form $A$ or $A/B$ with positive exponents:** Since $b^{13/5}$ already has a positive exponent and no common variables to separate, the simplified form is: $$b^{13/5}$$