x^5/x^-5

To simplify this expression, we can use the rule of exponents that states: x^a / x^b = x^(a-b).

In this case, we have x^5 / x^(-5). Using the rule, we subtract the exponents:

x^(5 - (-5))

Recall that subtracting a negative is the same as adding, so this simplifies to:

x^(5 + 5)

Which further simplifies to:

x^10

Therefore, x^5 / x^(-5) simplifies to x^10.