Final answer:
To use the distributive property on 2a²(5-3a⁴), multiply 2a² by each term inside the parentheses to get 10a² - 6a⁶ as the simplified expression.
Step-by-step explanation:
To use the distributive property on the expression 2a²(5-3a⁴), you need to multiply each term inside the parentheses by 2a². Here are the steps to simplify the expression:
- Multiply 2a² by 5 to get 10a².
- Multiply 2a² by -3a⁴ to get -6a⁴², which simplifies to -6a⁶ since you add the exponents when multiplying powers of the same base.
- Combine both products to get the simplified expression: 10a² - 6a⁶.
Simplified, the final answer is 10a² - 6a⁶.