Question

simplify. express your answer using positive exponents.
(3b)(4b³)

Explanation:

Step1: Multiply the coefficients

Multiply 3 and 4.
$3\times4 = 12$

Step2: Multiply the variables with exponents

Use the rule $a^m\times a^n=a^{m + n}$ for $b$ and $b^3$.
$b\times b^3=b^{1+3}=b^4$

Step3: Combine the results

Multiply the coefficient result and the variable result.
$12\times b^4 = 12b^4$

Answer:

$12b^4$