Final answer:
To find the value of n in the equation 54x²y³ = 3x+y√2x, we compare the powers of x and y on both sides. The value of n is 0, as there is no single value of n that satisfies the equation.
Step-by-step explanation:
To find the value of n in the equation 54x²y³ = 3x+y√2x, we need to compare the powers of x and y on both sides of the equation.
On the left side of the equation, we have x² and y³, which means that n = 2 and n = 3 for x and y respectively.
On the right side of the equation, we have 3x+y√2x. In this expression, the power of x is 1 and the power of y is 0. Therefore, the value of n is 1 for x and 0 for y.
Since n is different for x and y on both sides of the equation, there is no single value of n that satisfies the equation. Therefore, the answer is (a) 0.