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Chapter 0: Problem 70
Write each number in decimal notation without the use of exponents. $$-8.17 \times 10^{6}$$
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Determine whether each statement in Exercises 43鈥�50 is true or false. $$-13<-5$$
This will help you prepare for the material covered in the next section. a. Find \(\sqrt{16} \cdot \sqrt{4}\) b. Find \(\sqrt{16 \cdot 4}\) c. Based on your answers to parts (a) and (b), what can you conclude?
Find the intersection of the sets. $$\\{1,2,3,4\\} \cap\\{2,4,5\\}$$
a. A mathematics professor recently purchased a birthday cake for her son with the inscription $$\text { Happy }\left(2^{\frac{5}{2}} \cdot 2^{\frac{3}{4}} \div 2^{\frac{1}{4}}\right) \text { th Birthday. }$$ How old is the son? b. The birthday boy, excited by the inscription on the cake, tried to wolf down the whole thing. Professor Mom, concerned about the possible metamorphosis of her son into a blimp, exclaimed, "Hold on! It is your birthday, so why not take \(\frac{8^{-\frac{4}{3}}+2^{-2}}{16^{-\frac{3}{4}}+2^{-1}}\) of the cake? I'll eat half of what's left over." How much of the cake did the professor eat?
Evaluate each algebraic expression for the given value or values of the variable(s). $$7+5 x, \text { for } x=10$$
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