Simplify: (−2a2b) • (4a5b2) −8a7b3 −8a10b2 −8(ab)10 16a7b3
Answer:
The correct option is A) \(-8a^{7}b^{3}\).
Step-by-step explanation:
Consider the provided expression.
\((-2a^2b) \cdot (4a^5b^2)\)
Now open the parentheses.
\((-2\times4)(a^2\times a^5)(b\times b^2)\)
Now, use the product rule: \(a^m \cdot a^n= a^{m+n}\)
\((-8)(a^{2+5})(b^{1+2})\)
\((-8)(a^{7})(b^{3})\)
\(-8a^{7}b^{3}\)
Hence the simplified form of the provided expression is \(-8a^{7}b^{3}\).
Therefore, the correct option is A) \(-8a^{7}b^{3}\).