Final answer:
To find the values of x and y in the given equation, we simplify the expression on the left side using the rules of exponents. The values of x and y are 18 and 20, respectively.
Step-by-step explanation:
To find the values of x and y in the equation (a³b⁴/ a²b)⁶ = aˣbʸ, we need to simplify the left side of the equation and compare it to the right side.
Starting with the left side of the equation, we have (a³b⁴/ a²b)⁶. Using the rules of exponents, we can simplify this expression to (a³/ a²)⁶ * (b⁴/ b)⁶, which further simplifies to aˣ * bʸ, where x = 18 and y = 20.