5if 



ILfiEBRA. 



Apd the mth power of ^*-}-;tf*| ^'" is ^'-j-^'l ' \ 0? 



o^-J"'^'MS namely, the ?;th power of the cube root qf 



'"' Note. All the odd powers raised from a negatire ro4^^ 

 are negative, and all the even powers are positive,' 



Thus, the second power of -—(2 is — « X*^~^=^='4~'^ * » 



ty the rule for the signs in multiplication. 



The third power of — --/2 is -|"^* X — ^=— ^^% 



The fourth power is -—a^ X— '^^^4"^'** 



^^he fifth power of -— ^ is -^a^ X — ^^ = ~^-^*5 ^^, 



EXAMPLES FOR PRACTICE. 



I. Required the cube of -^^x'y^. Ans. ''S^2X^y\ 



2. Require^ the bjquadrate of 



3*" 



Ans. 



3. Requited the 5th piower of «— r-;v. 



Ans. a^ — ^a^x-{-ioa^x'' — ^loa^x^ '\'^d^^'-T'9c\ 



Sir ISAAC NEWTON's Rule 



Jfor raising a binomial or residual quantity to any power 

 ivhdtever* 



I. To Jind the terms ivithout the cocjfflcients. The index; 

 ©f the first, or leading quantity, begins with that of the 



givcA 



* This rule, expressed in general terms, is as follows ; 

 '2 '23 



