Question

1. (01.05 lc)

simplify: $(-2a^4b) \cdot (5a^4b^3)$ (5 points)
$\bigcirc$ $-10a^8b^4$
$\bigcirc$ $-10(ab)^{12}$
$\bigcirc$ $3a^8b^4$
$\bigcirc$ $3a^8b^3$

Explanation:

Step1: Multiply the coefficients

$(-2) \times 5 = -10$

Step2: Multiply the $a$-terms (add exponents)

$a^4 \times a^4 = a^{4+4} = a^8$

Step3: Multiply the $b$-terms (add exponents)

$b^1 \times b^3 = b^{1+3} = b^4$

Step4: Combine all parts

$-10 \times a^8 \times b^4$

Answer:

-10a⁸b⁴ (Option A: $-10a^8b^4$)