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Problem 37

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.) $$10^{7} 10^{-7}$$

Problem 37

Convert each number into standard notation. $$2.8 \times 10^{-4}$$

Problem 37

Simplify each of the following as completely as possible. $$\left(\frac{x^{3}}{y^{2}}\right)^{4}$$

Problem 37

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. $$(c+4)^{2}$$

Problem 38

Convert each number into standard notation. $$5 \times 10^{-3}$$

Problem 38

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. $$(z-9)^{2}$$

Problem 38

Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$(y+4)(y+6)$$

Problem 38

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.) $$x^{-5} x^{5}$$

Problem 39

Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$(x-5)(x-3)$$

Problem 39

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. $$(c+4)(c-4)$$

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