THE POWER OF A POWER RULE:

__-5Y^4(Y^5)^2__
15Y^7(Y^2)^3

-5Y^4 * Y^10/15Y^7 * Y^6

When you multiply exponents, you add them

-5Y^14/15Y^12

When dividing exponents, you substract from the top and bottom

I think the final answer would be

-y^2/3