Algebra/Trig Review - Pauls Online Math Notes - Lamar University

Algebra/Trig ReviewTo convert radicals to exponential form you need to remember the following formula1np p n =For this problem we’ve got.27 = 7 = 7( ) 12x x xThere are a couple of things to note with this one. Remember p =2p and noticethe parenthesis. These are required since both the 7 and the x was under the radical soboth must also be raised to the power. The biggest mistake made here is to convertthis as127xhowever this is incorrect because127x= 7 xAgain, be careful with the parenthesis7.5 2xSolution1 25 2 2 5 5( )x = x = xNote that I combined exponents here. You will always want to do this.8. 34x + 8Solution3( x ) 134x+ 8 = 4 + 81 13 3You CANNOT simplify further to ( 4 ) ( 8)( ) n n na+ b ≠ a + b !!!!Simplify each of the following.6 139. 316x y Assume that x ≥ 0 and y ≥ 0 for this problem.x + so don’t do that!!!! Remember thatSolutionThe property to use here isA similar property for quotients isn nxy = xnynx=ynnxy© 2006 Paul Dawkins 9http://tutorial.math.lamar.edu/terms.aspx