Simplify: \(3(a^4b^3)^{10} \times 5(a^2b^2)^3\)
Solution
\[ = 3 \times 5 \cdot (a^4b^3)^{10} \cdot (a^2b^2)^3 \]
\[ = 15 \cdot a^{40}b^{30} \cdot a^{6}b^{6} \]
\[ = 15 \cdot a^{40+6} \cdot b^{30+6} \]
\[ = 15a^{46}b^{36} \]
Final Answer:
\[ \boxed{15a^{46}b^{36}} \]