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Problem 25

In Exercises \(19-26,\) answer the following questions: (a) What is the degree of each term? (b) What is the degree of the polynomial? (c) Using complete standard form, what is the coefficient of each term? $$1-x^{5}$$

Problem 25

Convert each number into scientific notation. $$47.5$$

Problem 25

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 26

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.) $$w w^{6} w^{-4}$$

Problem 26

Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$(n-4)\left(n^{2}+7 n+1\right)$$

Problem 26

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

Problem 26

Convert each number into scientific notation. $$52.4$$

Problem 27

Convert each number into scientific notation. $$9727.3$$

Problem 27

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 27

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.)$$x^{-4} x^{5}$$

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