Question

simplify. express your answer using positive exponents.
4vw·3vw

Explanation:

Step1: Multiply the coefficients

Multiply 4 and 3.
$4\times3 = 12$

Step2: Multiply the variables with the same base

For variable \( v \), we have \( v\times v = v^{1 + 1}=v^{2} \) (using the rule \( a^m\times a^n=a^{m + n} \)).
For variable \( w \), we have \( w\times w = w^{1+1}=w^{2} \) (using the same exponent rule).

Step3: Combine the results

Multiply the coefficient with the variables.
$12\times v^{2}\times w^{2}=12v^{2}w^{2}$

Answer:

$12v^{2}w^{2}$