Question

what is the product?
$(3a^{2}b^{4})(-8ab^{3})$
$\bigcirc -24ab$
$\bigcirc -24a^{2}b^{7}$
$\bigcirc -24a^{2}b^{12}$
$\bigcirc -24a^{3}b^{7}$

Explanation:

Step1: Multiply the coefficients

$3 \times (-8) = -24$

Step2: Multiply the $a$-terms

$a^2 \times a = a^{2+1} = a^3$

Step3: Multiply the $b$-terms

$b^4 \times b^3 = b^{4+3} = b^7$

Step4: Combine all parts

$-24 \times a^3 \times b^7$

Answer:

D. $-24a^3b^7$