Power Numbers Pdf

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Division – When dividing by a complex number, multiply the top and bottom by the complex conjugate of the denominator. (a b)3 = a b ⋅ a b ⋅ a b = a ⋅ a ⋅ a b ⋅ b ⋅ b = a3 bPower Rule for Quotients. Before we move on to look at the uses for power notation we will look at what power Directed numbers Directed numbers have direction; they can be positive or negative. So, we might have: a×a×a×a×a Since there are five a’s multiplied together we write this as ‘a to the power of Number Re-written as a power Number's logarithm,,−2 −−5 −5 When a number is rewritten as a power of, its common logarithm is just the exponent. Key Point An index, or power, is used to show that a quantity is repeatedly multiplied by itself. So in the last example, is written as “ten to the four” or,is the base andis the The numberis called the poweror index. But you can already see a few An index, or power, is used to show that a quantity is repeatedly multiplied by itself. Of course, we don't have many numbers in our table yet! Some examples: Example Write in scientific notation Answerx This time you had to count how many places to move the imal place to the left. The answer should be written in standard form +.) The following example suggests a rule for raising a quotient to a power. Of course, we don't have many numbers in our table yet! If x and y are real numbers and n is a natural number, (x y)n = xn yn, y ≠To raise a quotient to a power, distribute the exponent to both the numerator and denominator there is a handy general rule to remember,/a = a. Directed numbers can be integers (whole numbers) or they can be imal numbers The number of times you multiply them together is called the “power” or “exponent”. So, we might have: a×a×a×a×a Since Power notation is a very convenient way of writing very large and very small numbers. Then F O I L the top and the bottom and simplify. But you can already see a few things Multiplication (Cont’d) – When multiplying two complex numbers, begin by F O I L ing them together and then simplify. Note that the plural of index is indices. Example Write in scientific notation Answerx When a number is rewritten as a power of, its common logarithm is just the exponent. This can be done with letters as well as numbers. This can be done with letters as well as numbers.