Question

simplify. express your answer using
$7q \cdot 6q \cdot 7q$

Explanation:

Step1: Group constants and variables

Group the numerical coefficients together and the variable $q$ terms together.
$7 \cdot 6 \cdot 7 \cdot q \cdot q \cdot q$

Step2: Calculate product of constants

Multiply the numerical coefficients.
$7 \cdot 6 \cdot 7 = 294$

Step3: Combine variable terms

Use exponent rule $q^a \cdot q^b = q^{a+b}$ for the variable terms.
$q \cdot q \cdot q = q^{1+1+1} = q^3$

Step4: Combine results

Multiply the product of constants with the combined variable term.
$294 \cdot q^3$

Answer:

$294q^3$