Solve: \( \frac{x^{5} y^{8} z}{x^{5} z} \) \( y^{8} \) \( y^{8} z \)

We start with the expression   (x⁵ · y⁸ · z) / (x⁵ · z). Notice that both x⁵ and z appear in the numerator and denominator. Since division allows us to cancel common nonzero factors, we do the following:   1. Cancel x⁵ in the numerator with x⁵ in the denominator.   2. Cancel z in the numerator with z in the denominator. After canceling, we are left with   y⁸. Thus, the simplified form is y⁸. For the other two expressions given:  • y⁸ is already in its simplest form.  • y⁸ · z is already in factored (and simplest) form as well. So the answers are:  1. (x⁵y⁸z)/(x⁵z) = y⁸  2. y⁸ = y⁸  3. y⁸z = y⁸·z No further simplification is possible unless additional information or context is provided.