Answer:

To find the value of x^3 * y^3, we need to understand the relationship between x * y and x^3 * y^3. Let's break down the problem step by step.

Given:
- X * Y = 5
- X * Y = 6

Understanding the relationship:

When we multiply two numbers, the result is their product. Similarly, when we multiply x and y, we get the product xy. In this case, xy is equal to 6.

To find x^3 * y^3, we need to cube both x and y and then multiply the results. But before doing that, we should find the individual values of x and y.

Finding the value of x and y:

To find the values of x and y, we can use the given equation X * Y = 5.

Since xy = 6, we can write the equation as:

XY = 5
6 = 5

This implies that either X or Y is equal to 1, and the other is equal to 5. Let's assume X = 1 and Y = 5.

Calculating x^3 and y^3:

Now that we have the values of x and y, we can calculate x^3 and y^3.

x^3 = X * X * X = 1 * 1 * 1 = 1
y^3 = Y * Y * Y = 5 * 5 * 5 = 125

Calculating x^3 * y^3:

Finally, we can calculate the value of x^3 * y^3 by multiplying x^3 and y^3.

x^3 * y^3 = 1 * 125 = 125

Final Answer:

The value of x^3 * y^3 is 125.

x=8,y=27