Final answer:
To simplify the expression (-2)²x⁶y² / (-2)⁻³x⁴y⁻², we can apply the properties of exponents. We have B) (-2)⁵x²y⁴ as the simplified expression.
Step-by-step explanation:
To simplify the expression (-2)²x⁶y² / (-2)⁻³x⁴y⁻², we can apply the properties of exponents.
When dividing, we subtract the exponents.
So, (-2)² / (-2)⁻³ simplifies to (-2)⁵. Similarly, x⁶ / x⁴ simplifies to x², and y² / y⁻² simplifies to y⁴.
Therefore, we have B) (-2)⁵x²y⁴ as the simplified expression.