Chapter 0: Problem 66
Write each number in decimal notation without the use of exponents. $$9.2 \times 10^{2}$$
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Chapter 0: Problem 66
Write each number in decimal notation without the use of exponents. $$9.2 \times 10^{2}$$
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Determine whether each statement is true or false. If the statement is false, make the necessary change(s) toproduce a true statement. $$5^{2} \cdot 5^{-2}>2^{5} \cdot 2^{-5}$$
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) toproduce a true statement. $$534.7=5.347 \times 10^{3}$$
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?
Simplify by reducing the index of the radical. $$\sqrt[9]{x^{6} y^{3}}$$
Why is \(\left(-3 x^{2}\right)\left(2 x^{-5}\right)\) not simplified? What must be done to simplify the expression?
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