Question

multiply. 2y·6w⁶·2y³w⁶ simplify your answer as much as possible.

Explanation:

Step1: Group constant and variable terms

$(2 \cdot 6 \cdot 2) \cdot (y \cdot y^3) \cdot (w^6 \cdot w^6)$

Step2: Multiply the constant factors

$2 \cdot 6 \cdot 2 = 24$

Step3: Combine $y$-terms (add exponents)

$y^{1+3} = y^4$

Step4: Combine $w$-terms (add exponents)

$w^{6+6} = w^{12}$

Step5: Multiply all simplified terms

$24 \cdot y^4 \cdot w^{12}$

Answer:

$24y^4w^{12}$