To simplify (-15x^4)/(3x), we must divide -15x^4 by 3x. -15 divided by 3 is simple; the answer is -5. I think you might have been strung up on dividing x^4 by x. Here is a Quotient property that will help us out: (a^n)/(a^m) = a^(n-m). Using this, we can figure out that x^4 divided by x is x^3 since x^(4-1) = x^3. In conclusion, the answer is -5x^3.