91Ó°ÊÓ

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.) $$(x y)^{4}$$

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.) $$2 a^{-3}$$

Convert each number into standard notation. $$3.52 \times 10^{-3}$$

Do your computation using scientific notation. $$(0.004)(250)$$

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. $$(3 x-4)(x+7)$$

Do your computation using scientific notation. $$(600)(0.0015)$$

Do your computation using scientific notation. $$\frac{0.003}{6000}$$

Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$(x-8)(x-8)$$

Estimate the answer without actually carrying out the computation and make the most appropriate choice. If you multiply \(1.93 \times 10^{5}\) by \(5.12 \times 10^{-3},\) the result is closest to (a) 10 (b) 1000 (c) \(10,000\) (d) 0.01 (e) 0.001

Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$5(x-4)(x-7)$$