Final answer:
To simplify the expression (2b^5-4b^2+5)5b^4, we need to multiply every term inside the parentheses by 5b^4. The simplified expression is 10b^9 - 20b^6 + 25b^4.
Step-by-step explanation:
To simplify the expression (2b^5-4b^2+5)5b^4, we need to multiply every term inside the parentheses by 5b^4.
Using the distributive property, we get:
(2b^5-4b^2+5)5b^4 = 2b^5 * 5b^4 - 4b^2 * 5b^4 + 5 * 5b^4.
Simplifying each term:
2b^5 * 5b^4 = 10b^(5+4) = 10b^9
-4b^2 * 5b^4 = -20b^(2+4) = -20b^6
5 * 5b^4 = 25b^4
Putting it all together, the simplified expression is:
10b^9 - 20b^6 + 25b^4