Answer:
Step1:Option 1
Step2: Option 5
Step 3:Option 6
Step-by-step explanation:
I will show yo how yo can get on of these options:
First, we expand the expression.
(2x^-4y³)² 3x⁶y²
= (2²)(x^(-42))(y³²)(3x⁶)(y²)
= 4 x^(-8) y⁶ 3x⁶ y2²
Then we combine like terms.
= 4 3 x^(-8) x⁶ y⁶ y²
= 12 x^(-2) y²
Finally, simplify the negative exponent and get the final result.
= 12 (1/x²) y⁸
= 12y⁸ / x²
