Verified answer

y^8/2y is y^7/2 then solution x^4*y^7/6

X^2*x^2*y^8/(2y^3)=1/2 X^2*x^2y^6

x^2 * x^2 * y^8 / 2y*3

Multiply like bases, add the exponents.

Divide like bases, subtract the exponents.

x^2 * x^2 * y^8 / 2y * 3 =

x^4 * y^8 / 2y * 3 =

(3/2) * x^4 * y^5

Ta-da!

When you multiply exponentiated variables you add the exponents. When you divide them, you subtract the exponents. So you just have to add the x exponents and subtract the y exponents to simply that expression.

(x^4)(y^8)/6y