3^8 



8. Divide 



INVOLUTION. 



Involution is the continual multiplication of a qu iT<t^^ 

 ty into itself, and the products thence arising are called 

 the powers of that quantity, and the quantity itself, is calU 

 ed the root. Or it is the method of finding the cquai^e, 

 cube, bi quadrate, &c. of any given quantity, 



RULE.*5 



Multiply the quantity into itself, till the quantity be 

 taken for a factor as many times as there are units in the 

 index, an.d the last product will be the power required. 



Or, 



Multiply the index of the quantity by the index of the 

 power, and the result will be the power required, 



EXAMPLES. 



a root 



^* := square 



/?' ^=^ cube 



^''^ =3 4th power 



c;'^ -= 5th power. 



a * root 



a^ rs square 



(i^ = cube 



a^ =: 4th power 



a°=: 5 th power. 



■3^^ 



* Any power cf the product of two or more quantities is 

 equal to tha same powers of the factors, multiplied together. 



And any power of a fraction is equal to the same power of the 

 puraerator, divided by the s^me power of tlie denominator. 



