91Ó°ÊÓ

In Exercises \(51-62,\) evaluate each polynomial for the given values. $$2 s^{3}-4 s^{2}+6 s-8 \text { for } s=3$$

Simplify each of the following as completely as possible. $$\frac{(-a)^{4}}{-a^{4}}$$

Multiply out each of the following. As you work out the problems, identify those exercises that are either a perfect square or the difference of two squares. $$(2 y-3)(4 y-5)$$

In Exercises \(51-62,\) evaluate each polynomial for the given values. $$6 x^{2}-7 x+3 \text { for } x=-\frac{1}{2}$$

Simplify each of the following expressions as completely as possible. Final answers should be expressed with positive exponents only. (Assume that all variables represent positive quantities.) $$4\left(x^{-1} y\right)^{-3}$$

Do your computation using scientific notation. $$\frac{(0.0036)(0.005)}{(0.01)(0.06)}$$

Multiply out each of the following. As you work out the problems, identify those exercises that are either a perfect square or the difference of two squares. $$(3 x+4)(5 x-7)$$

Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$(x+7)(x+7)$$

Simplify each of the following as completely as possible. $$\frac{-u^{3}}{(-u)^{3}}$$

Simplify each of the following expressions as completely as possible. Final answers should be expressed with positive exponents only. (Assume that all variables represent positive quantities.) $$\left(4 x^{-4} y\right)^{3}$$