Exponents, Scientific Notation, and Radicals

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Exponents, Scientific Notation, and Radicals Order of operations: Solve using the order of operations. Be sure to show each step to receive full credit. (–16 ÷ 2) × 4 – 3 + 82 (-8) x 4 (-32) -3+82 -29+ 82 - 372 Exponents: Define the product rule and the quotient rule in your own words. The product rule is a formal rule for differentiating problems where one function is multiplied by another. The quotient rule is a method of finding the derivative of a function that is the quotient of two other functions for which derivatives exist Using the product and quotient rule, solve the following: Product rule exercise: x^11* x^5= x^(11+5)=x^16 x^(–6 )* x^12 〖=x〗^(-6+12)=x^18 Quotient rule exercise: x^(30 )/x^10 = x^(30-10)=x^20 x^(30 )/x^(–10) =x^(30--10)=20 Scientific Notation: Refer to your textbook or any Internet source to answer the following question. Be sure to cite your answer if you use a source other than your textbook. Explain the advantages of scientific notation. How is it used today? Scientific notation is used in research for things like chemistry, biology and biochemistry. Radicals: Evaluate the following: √("121" ) " + " √("4" ) =11+2 13 √("121 + 4" ) 125 11 Short Answer: Explain in a few sentences why the answers to the above problems were different. The first problem wanted you to figure out the square root of both 121 and 4. The second only wanted you find the square root of the sum of 124 +

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