ANSWER
![-8a^7](https://img.qammunity.org/2023/formulas/mathematics/high-school/vqvbf0ouzbedj2dxxvdhf8g9nts0bhq2xw.png)
Step-by-step explanation
We want to find the product of the monomials given:
![4a^2\cdot-2a^5](https://img.qammunity.org/2023/formulas/mathematics/high-school/k356g576pc5n9fff5xyoeowndmzsh6qg6p.png)
To do this, we will combine the terms that are alike and simplify them.
That is multiply the integers with the integers and the algebraic term with the algebraic term.
![4\cdot\text{ -2 }\cdot a^2\cdot a^5](https://img.qammunity.org/2023/formulas/mathematics/high-school/zqajxfki29zquya3r9pvromt2yb8z01etd.png)
Apply the addition law of indices:
![\begin{gathered} -8\cdot a^{2\text{ + 5}} \\ =>-8a^7 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/r026tj03cxcgmvg5mm6ofz24fmqvocgre9.png)
That is the answer.