Question

which is a simplified form of the following expression: $(3a^{4}b^{2})(a^{3}b)$
$\bigcirc$ $3a^{12}b^{2}$
$\bigcirc$ $9a^{12}b^{3}$
$\bigcirc$ $3a^{7}b^{3}$
$\bigcirc$ $6a^{7}b^{2}$

Explanation:

Step1: Multiply coefficients

$3 \times 1 = 3$

Step2: Combine $a$-terms (add exponents)

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

Step3: Combine $b$-terms (add exponents)

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

Step4: Combine all parts

$3 \times a^7 \times b^3 = 3a^7b^3$

Answer:

$\boldsymbol{3a^7b^3}$ (Option: $\boldsymbol{3a^7b^3}$)