Answer: [tex]-8a^7\ b^3[/tex]
Step-by-step explanation:
Given expression : [tex](-2a^2b)\cdot(4a^5b^2)[/tex]
[tex]=-2\times4\times a^2\times a^5\times b\times b^2[/tex]
The product law of exponent :-
[tex]x^n\times x^m=x^{n+m}[/tex]
Using the product law of exponent for the given expression we have:-
[tex]=-8\times a^{2+5}\times b^{1+2}\\\\=-8a^7\ b^3[/tex]
Thus , the given expression is simplified as [tex]-8a^7\ b^3[/tex]
