1. The problem is to simplify the expression $(p3 q2)5$. 2. First, interpret the expression. Assuming it means $(p^3 q^2)^5$ where $p$ and $q$ are variables. 3. Use the power of a product rule: $$(ab)^n = a^n b^n$$ 4. Apply the rule: $$(p^3 q^2)^5 = (p^3)^5 (q^2)^5$$ 5. Use the power of a power rule: $$(a^m)^n = a^{m \times n}$$ 6. Simplify each term: $$(p^3)^5 = p^{3 \times 5} = p^{15}$$ and $$(q^2)^5 = q^{2 \times 5} = q^{10}$$ 7. Combine the results: $$p^{15} q^{10}$$ Final answer: $$p^{15} q^{10}$$