Question

Simplify (-2) ²x ⁶y² / (-2) ⁻3x ⁴y⁻2

A) (-2)⁻5x²y⁴
B) (-2)⁵x²y⁴
C) (-2)⁻5x¹2y⁴
D) (-2)⁵x¹2y⁴

Answer 1

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.