Final answer:
To find the least common multiple (LCM) of 12w⁷x⁴ and 20y³w⁵x⁸, you need to determine the highest power of each variable that appears in both expressions and multiply them together.
Step-by-step explanation:
To find the least common multiple (LCM) of 12w⁷x⁴ and 20y³w⁵x⁸, we need to determine the highest power of each variable that appears in both expressions. The LCM will then be the product of these highest powers. Let's break down each expression:
12w⁷x⁴ = 2² × 3 × w⁷ × x⁴
20y³w⁵x⁸ = 2² × 5 × y³ × w⁵ × x⁸
Now, we take the highest powers of each variable: 2², 3, w⁷, x⁸, and y³. Multiply them together to find the LCM:
LCM = 2² × 3 × w⁷ × x⁸ × y³.