Question

exponent rules (variable and coefficients)
score: 0/1 penalty: none
question
simplify:
\\((-4q^3)(8q)\\)

Explanation:

Step1: Multiply the coefficients

Multiply -4 and 8: $-4\times8 = -32$

Step2: Multiply the variables using exponent rule

For the variable \( q \), use the rule \( a^m \times a^n = a^{m + n} \). Here, \( q^3\times q = q^{3+1}=q^4 \)

Step3: Combine the results

Combine the coefficient and the variable: \(-32\times q^4=-32q^4\)

Answer:

\(-32q^4\)