Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20070508 00:19:38
Index Laws PracticeTo complete these questions it will be necessary to know the Index Laws: Law 2: Law 3: Law 4: Law 5: And the rational index laws: Also, we define , where To prove this: , but 1: Simplify with positive indices: a) b) c) d) e) 2: Simplify with positive indices: a) b) c) d) e) 3: Simplify with positive indices: a) b) c) d) e) 4: Express as a power of x: a) b) c) d) e) Last edited by Toast (20070508 00:22:15) #2 20070924 22:57:56
Re: Index Laws PracticeHey..thats cool...may you post some level 9 or secondary 3(asia) practice to the forum... i need more practise...anyway thank you~~this is kinda cool... #3 20071229 17:58:29
Re: Index Laws Practiceahhh...finally something i can understand ty for this stuff and could u upload some other stuff like medium level coordinate geometry (i drag at it) TY4 THIS #4 20071229 19:25:44
Re: Index Laws PracticeHi kmlb123! Character is who you are when no one is looking. #5 20130108 16:38:53
Re: Index Laws PracticeExercise online, good see the stuff, helpful for kids and all, It inspired me to join the lovely forum, evoked my forgotten love for maths #6 20130108 19:27:10
Re: Index Laws Practicehi You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #7 20130108 19:46:43
Re: Index Laws PracticeHi Ash Okas; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #8 20130109 06:16:45
Re: Index Laws PracticeHi Toast! Nice set of problems! (p is the opposite of the smaller of m and n) For example recalling that a^0 = 1 we get ( Whether this is true for a=0 has been thoroughly explored in other threads of this forum.) m n p a^(m+p)/a^(n+p) 2 5 2 a^0 / a^3 = 1/(a^3) 3 2 2 a^5 / a^0 = a^5 5 3 5 a^0 / a^2 = 1/(a^2) 4 7 7 a^11 / a^0 = a^11 3 3 3 a^0 / a^0 = 1 4 4 4 a^0 / a^0 = 1 Of course the last two cases here would obviously be 1 from the start. This law takes care of all cases for positive, negative or zero exponents m and n, leaving the answer with a nonnegative exponent for a in the numerator or denominator as most books require for the answer. If p is anything else but min(m,n) the equality is still true, but it will not be in "simplified" form. Play around with it a bit and I think you will find it is quite handy and easy to use. Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional). LaTex is like painting on many strips of paper and then stacking them to see what picture they make. 