2а³•(-5а⁴b5)²

To simplify the expression 2a³ • (-5a⁴b⁵)², we'll break it down into smaller steps.

Step 1: Simplify the square of (-5a⁴b⁵). (-5a⁴b⁵)² = (-5)² • (a⁴)² • (b⁵)² = 25 • a⁸ • b¹⁰

Step 2: Multiply the simplified square by 2a³. 2a³ • 25 • a⁸ • b¹⁰ = 50a³ • a⁸ • b¹⁰

Step 3: Simplify the product of the powers of the same base. 50a³ • a⁸ • b¹⁰ = 50 • a^(3+8) • b¹⁰ = 50 • a¹¹ • b¹⁰

So, 2a³ • (-5a⁴b⁵)² simplifies to 50a¹¹ • b¹⁰.