What is x to the power 8 divided by x squared?

Well, darling, when you divide x to the power of 8 by x squared, you subtract the exponents. So, x to the power of 8 divided by x squared is x to the power of 8 minus 2, which simplifies to x to the power of 6. So, there you have it, x to the power of 6 is the sassy answer you're looking for.