Question

question
simplify
$(-6q^{2})^{3}$

Explanation:

Step1: Apply power - of - a - product rule

$(-6q^{2})^{3}=(-6)^{3}\times(q^{2})^{3}$

Step2: Calculate $(-6)^{3}$

$(-6)^{3}=(-6)\times(-6)\times(-6)= - 216$

Step3: Apply power - of - a - power rule to $(q^{2})^{3}$

$(q^{2})^{3}=q^{2\times3}=q^{6}$

Step4: Combine the results

$(-6)^{3}\times(q^{2})^{3}=-216q^{6}$

Answer:

$-216q^{6}$