Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3 Substituting variables for numbers • We can also use variables such as X and Y when using exponents. We can define X and Y as integers. • For example: 3 = 3 X 3 X 3 = 27 SO: X = (X)(X)(X) Variable • A variable is a symbol for a number we don’t know yet like X or Y. Integers • Integers include zero, positive and negative numbers. They do not include fractions. Laws of Exponents X = (X)(X)…..(X) (N factors of X) X = 1 X X = (if X = 0) X Practice • Write 11 as multiplication. • Write u as a fraction using only positive exponents. • What is the value of 100 • Evaluate -5 and (-5) ? Solutions 1) 11 X 11 X 11 = 1331 2) 1 u 3) 10 4) 1 25 Multiplying Exponents • Same base • (X ) (X) = X • Be careful I can add the exponents, because X is the base both time. If I had X and Y I could only combine in the exponents were the same. Differences Math is a language • (4x) • 4x means (4 ) (X ) means 4 (X)(X)(X) Dividing Exponents Step 1: X Step 2: Step 3: X = X 1 X = (X ) (X ) = X Dividing Exponents Step 1: X Step 2: X = (XX) (XXXXXX) STEP 3: (XX) (XXXXXX) (XXXXXX) Step 3: (XX) = X (XXXXXX) x • Anything divided by itself is 1. X to the zero power is 1. • Example X /X = (X ) (X ) =1 • This works in all cases except for if X is equal to zero.