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Chapter 5: Problem 2
Multiply each expression using the product rule. $$x^{12} \cdot x^{4}$$
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In each exercise, find the product. $$(x+3)\left(x^{2}+5\right)$$
In Exercises \(79-82,\) simplify each expression. Divide the sum of \((y+4)^{2}\) and \((y+4)(y-4)\) by \(2 y\)
Exercises \(110-112\) will help you prepare for the material covered in the next section. In each exercise, perform the long division without using a calculator, and then state the quotient and the remainder. $$. 9 8 \longdiv { 2 5 . 1 8 7 }$$
Explain the quotient rule for exponents. Use \(\frac{3^{6}}{3^{2}}\) in your explanation.
We have seen that in \(2009,\) the United States government spent more than it had collected in taxes, resulting in a budget deficit of \(\$ 1.35\) trillion. a. Express 1.35 trillion in scientific notation. b. Express the 2009 U.S. population, 307 million, in scientific notation. c. Use your scientific notation answers from parts (a) and (b) to answer this question: If the 2009 budget deficit was evenly divided among every individual in the United States, how much would each citizen have to pay'? Express the answer in scientific and decimal notations.
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