Answer:
Step-by-step explanation:
To simplify the given expression, we can use the properties of exponents. Here's the step-by-step simplification:
Start with the given expression: y^(-8) * y^3 * x^0 * x^(-2).
The property of negative exponents states that a^(-n) is equal to 1/a^n. Applying this property to y^(-8), we get 1/y^8.
The property of zero exponents states that any non-zero number raised to the power of 0 is equal to 1. Applying this property to x^0, we get 1.
Putting it all together, our expression simplifies to: (1/y^8) * y^3 * 1 * (1/x^2).
Multiplying the terms, we get: (y^3) / (y^8 * x^2).
Finally, using the property of negative exponents again, we can rewrite y^8 as 1/y^8 and x^2 as 1/x^2: (y^3) / (y^8 * x^2) = (y^3) / (y^8 * x^2) = y^3 / (y^8 * x^2).
So, the simplified expression is y^3 / (y^8 * x^2).
