Respuesta :
Answer:
The correct option is A) [tex]-8a^{7}b^{3}[/tex].
Step-by-step explanation:
Consider the provided expression.
[tex](-2a^2b) \cdot (4a^5b^2)[/tex]
Now open the parentheses.
[tex](-2\times4)(a^2\times a^5)(b\times b^2)[/tex]
Now, use the product rule: [tex]a^m \cdot a^n= a^{m+n}[/tex]
[tex](-8)(a^{2+5})(b^{1+2})[/tex]
[tex](-8)(a^{7})(b^{3})[/tex]
[tex]-8a^{7}b^{3}[/tex]
Hence the simplified form of the provided expression is [tex]-8a^{7}b^{3}[/tex].
Therefore, the correct option is A) [tex]-8a^{7}b^{3}[/tex].