**Differentiation of (2x^2 3)^5/3 (x 5)^-1/3**

To find the differentiation of the given expression, let's break it down step by step.

1. **Simplify the expression:**
Start by simplifying the expression to make it easier to differentiate. We can simplify using the laws of exponents.

(2x^2 3)^5/3 (x 5)^-1/3 = (2x^2 3)^(5/3) * (x 5)^(-1/3)
= (2^(5/3) * (x^2)^(5/3) * (3)^(5/3)) * (x^(-1/3) * (5)^(-1/3))

2. **Apply the power rule:**
The power rule states that if we have a term raised to a power, we can bring down the power as a coefficient and reduce the power by 1.

Let's differentiate each term separately using the power rule:

(2^(5/3) * (x^2)^(5/3) * (3)^(5/3)) * (x^(-1/3) * (5)^(-1/3))

Differentiating the first term:
d/dx (2^(5/3) * (x^2)^(5/3) * (3)^(5/3)) = (5/3) * 2^(2/3) * (x^2)^(2/3) * (3)^(5/3-1) * (2x)

Differentiating the second term:
d/dx (x^(-1/3) * (5)^(-1/3)) = (-1/3) * x^(-1/3-1) * (5)^(-1/3-1) * (1)

Simplifying the differentiation of the second term:
d/dx (x^(-1/3) * (5)^(-1/3)) = (-1/3) * x^(-4/3) * (5)^(-4/3)

3. **Combine the differentiated terms:**
Now, we can combine the differentiated terms to get the final result.

Final differentiation result:
(5/3) * 2^(2/3) * (x^2)^(2/3) * (3)^(5/3-1) * (2x) * (-1/3) * x^(-4/3) * (5)^(-4/3)

Simplifying the expression:
= -10 * 2^(2/3) * 3^(-2/3) * x^(2/3-4/3) * (5)^(-4/3) * x

= -10 * 2^(2/3) * 3^(-2/3) * x^(-2/3) * (5)^(-4/3) * x

4. **Final Answer:**
The differentiation of (2x^2 3)^5/3 (x 5)^-1/3 is -10 * 2^(2/3) * 3^(-2/3) * x^(-