Chapter6ExponentialFunctionsandSequences
6.1PropertiesofExponentsDoNow:Whataresomeimportantpropertiesofexponents?UsingZeroandNegativeExponentsExample1: ZeroExponents: 4! = (2!)! = 5! ! =
NegativeExponents4!! = 8!! =
Example2:SimplifyinganExpression
Simplifytheexpression!!!!!!
Tryonyourown!
Simplifytheexpression!!!!!!!!
UsingthepropertiesofexponentsExample3:UsingpropertiesofexponentsSimplifyeachexpression.WriteyouranswerusingonlyPOSITIVEEXPONENTS
a. 3! ∙ 3!
b. (!!)!(!!)!
c. (3!)!!
Tryonyourown:KeyNotes!!!Example4:Simplifyeachexpression.WriteyouranswerusingonlyPOSITIVEEXPONENTS
Example5:ManipulatingExpressionsWhichoftheexpressionsshownrepresentsthevolumeofthecylinder?Example6:Solvingreal-lifeproblems.Ajellyfishemitsabout1.25×10!particlesoflight,orphotons,in6.25×10!!seconds.Howmanyphotonsdoesthejellyfishemiteachsecond?Writeyouranswerinscientificnotationandinstandardform.Homework:5-31Odd,33,34,37-55Odd