324 ALCEBRA. 



353 



6. Let fv/i- be divided by Iv'i-. Ans. |f ^3, 



7. Let f-/^, or yo*, be divided by -^a^, Ans. -^a^. 



PROBLEM yiii. 



Jo ifivolve^ or raise^ surd quantities to any fowsr^ 



HULE. 



Multiply the index of the quantity by the index of the 

 power, to which it is to be raised, and annex the result to 

 the power of the rational parts, and it will give the power 

 rec^uired. 



EXAMPLES. 



1. It is required to find the square of ~a^y 

 First,. ffzz^Xf =1-5 



And ^§-1 -a'^ z::=u-^'z=,a'[^ ; 



Therefore -a^i =- -|- • a""! ^ = ^V'^*, the square xc^ 

 quired. 



2. It is required to find the cube of \Vjy 



--3 ' • 



iirsr, -yi — _XyXT-^T4T * 



Therefore i^vj =z\\-^-fV=\i^l-^^^\-, the cube 

 required. 



3. Required the square of 3V'3. Ans. pv^p. 



4. Required the cube of 2* , or s/z* Ans. 2y 2. 



5. Required 



