4^6(x^8)(y^-2) / 4^7(x^4)(y^2)
= 4^-1(x^4)(y^-4)
= x^4 / 4y^4
Therefore A is the correct answer. Obtained using exponent laws.
Laws used:
- Anything to the power of 0 is 1, which eliminates the base.
- When you divide like bases with exponents, you subtract the exponents to simplify.