Question

exponent rules (variable and coefficients)
score: 8/10 penalty: none
question
simplify:
$(-2q)^3$

Explanation:

Step1: Apply power of a product rule

$(ab)^n = a^n b^n$, so $(-2q)^3 = (-2)^3 \cdot q^3$

Step2: Calculate the coefficient's power

$(-2)^3 = -2 \times -2 \times -2 = -8$

Step3: Combine results

Multiply the coefficient and variable term

Answer:

$-8q^3$