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Problem 19

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.) $$m^{-6} m^{8}$$

Problem 19

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. $$(x+12)(x+1)$$

Problem 19

Convert each number into scientific notation. $$0.09$$

Problem 20

Convert each number into scientific notation. $$0.07$$

Problem 20

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.) $$t^{3} t^{-7}$$

Problem 20

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. $$(x+20)(x+2)$$

Problem 20

Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$5 r s(r-2 s)+r^{2}(3 s-4 r s)$$

Problem 21

Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$5 x y^{2}(x y-y)-2 y\left(x^{2} y^{2}-x y^{2}\right)$$

Problem 21

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. $$(x-12)(x-1)$$

Problem 21

Convert each number into scientific notation. $$0.00000003$$

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