Question

Y²⁰ : y⁴y (x⁹)³ : x¹² (-x⁴x)⁶ : x¹⁰ (-y³)⁴(-y)⁵

Answer 1

1) y^17
2)x^15
3)x^20
4)-y^17

Answer 2

Let's simplify each of the expressions:

1. Y²⁰: There's nothing to simplify here since it's already in its simplest form.

2. y⁴y (x⁹)³: The expression "y⁴y" can be simplified to "y⁵" by adding the exponents together. Then, we have: y⁵ (x⁹)³

3. x¹² (-x⁴x)⁶: The expression "-x⁴x" can be simplified to "-x⁵" by adding the exponents together. Then, we have: x¹² (-x⁵)⁶

4. x¹⁰ (-y³)⁴(-y)⁵: The expression "(-y³)⁴" can be simplified to "y¹²" since raising a negative value to an even power results in a positive value. Then, we have: x¹⁰ y¹² (-y)⁵

Now, let's combine all the expressions together:

Y²⁰ : y⁴y (x⁹)³ : x¹² (-x⁴x)⁶ : x¹⁰ (-y³)⁴(-y)⁵

Simplifying each expression:

Y²⁰ : y⁵ (x⁹)³ : x¹² (-x⁵)⁶ : x¹⁰ y¹² (-y)⁵

So, the simplified expression becomes:

Y²⁰ : y⁵ (x⁹)³ : x⁷⁵ : x¹⁰ y¹² (-y)⁵

Please note that without specific values for variables Y, y, and x, we cannot simplify the expressions further.