Math 017 Materials With Exercises

9 818081a) 9 98097 6 76134 4 4 4 13112b) 4 4 16 .11 11 114 4 4Common mistakes and misconceptionsMistake 4.1There is a difference betweensquared,Mistake 4.2In the expression2 x and2( x) . In22 x) ( x)(x) . Just like 3 2 9( xMistake 4.3Although it is true thatWe recognize that2 x only x is squared, in , while ( 3)2 9 .x7 y 3 , since the bases are not the same, DO NOT add exponents.( b2 2 2ab) a ,( 7 x2 2x) 49 , however,( ab2 2 2 b) a .( 7x22 x) 49 .2( x) , x isMistake 4.4Please, remember2 5 2 5 1x x x x x x251 x8 x25(not x7 x ). In other words, if one of thefactors does not have an explicit exponent, it means it is raised to the first power, and thus onehas to be added.Exercises with Answers (For answers see Appendix A)mEx.1 In the expression 3 x , 3 is called the____________________ , m is called the____________or ____________ and x is called the______________ .Ex.2Ex.3Fill in the blanks.a) An expression x raised to the________ power is equal to itself.b) An expression x raised to the________ power is equal to 1.ma) In the expression ab the exponent pertains to ________________.nb) In the expression ( ab) the exponent pertains to ________________.c) In the expressiond) In the expressione) In the expressionc )n( de the exponent pertains to ________________.n(a)the exponent pertains to ________________.n a 2x f) In the expression y the exponent pertains to ________________.mthe exponent pertains to ________________.44