To solve this equation, we need to find the value of x that satisfies the equation:

(1/2x^4) * (1/4x^6) * (1/6x^8) * (1/8x^10) * Y = 1/3

First, let's simplify the expression:

(1/2 * 1/4 * 1/6 * 1/8) * (x^4 * x^6 * x^8 * x^10) * Y = 1/3

(1/384) * (x^(4+6+8+10)) * Y = 1/3

(1/384) * (x^28) * Y = 1/3

Now, let's isolate x by multiplying both sides of the equation by 384:

(x^28) * Y = (1/3) * 384

(x^28) * Y = 128

To solve for x, we need to isolate it. Divide both sides of the equation by Y:

x^28 = 128 / Y

Now, take the 28th root of both sides to solve for x:

x = (128 / Y)^(1/28)

So, the value of x that satisfies the equation is (128 / Y)^(1/28).