279 



XAf' 



Note i . To tnultiply any power by another of the same root / 

 add the exponent of the multiplier to that of the multipli- 

 cand, and the sum will be the exponent of their product. 



Thus the product of a^ multiplied into a^ is «^*^, or a^. 



That of at" into x is a-"*'. 



That of .r" into ;v* is :v"+*. 



That of x"^ into a?" is ;v'''+". 



And that of cf^"-' into /"'' is cf^'''^^-\ or o^*"'^^ 



Again, the product of ^+^1 multiplied into ^-f-A? is 



And that of x-^-yX into a^+jI is ^+)'l • 



This 



Otherwise. Since a — a=:o, therefore a — a X — h is also =0, 

 beause o multipKed by any quantity b still o ; and since the first 

 term of the product, or « X — h, =iab, by the second case ; there- 

 fore the last term of the product, or — «X — b, must be -^-ab, to- 

 make the sura =:c, or • — ^3 4-^=0 ; that is, — aX— ^=+^^« 



