Question

simplify. express your answer using positive exponents.\\( (4vw)(5v^9w) \\)

Explanation:

Step1: Multiply constant coefficients

$4 \times 5 = 20$

Step2: Combine $v$ terms (add exponents)

$v^1 \times v^9 = v^{1+9} = v^{10}$

Step3: Combine $w$ terms (add exponents)

$w^1 \times w^1 = w^{1+1} = w^2$

Step4: Multiply all simplified parts

$20 \times v^{10} \times w^2$

Answer:

$20v^{10}w^2$