Question

Simplify the expression 4^6*x^8 y^-2/4^7 *x^4 y^2

Answer 1

4^6 x^8 y^-2
----------------
4^7 x^4 y^2

= x^4 y^-4
-----------
4

= x^4
--------
4 y^4

That's A

Answer 2

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.