Question

simplify. express your answer using positive exponents. (8q³)(6q⁹)

Explanation:

Step1: Multiply the coefficients

Multiply 8 and 6.
$8\times6 = 48$

Step2: Multiply the variables with exponents

Use the rule $a^m \times a^n = a^{m + n}$ for $q^3$ and $q^9$.
$q^3\times q^9 = q^{3 + 9}=q^{12}$

Step3: Combine the results

Multiply the coefficient result with the variable result.
$48\times q^{12}=48q^{12}$

Answer:

$48q^{12}$