CLASS-8
RECIPROCAL OF A POWER

Reciprocal of a Power


                              1                      1

y ÷ y = 1, because y X ------- = 1, where -------- is called 

                              y                      y 

the reciprocal of y and that can be written as y⁻¹.

on the other way, with the same condition       

                               1                                

y ÷ y = 1, because  y X --------,

                               y

 or,    y¹ X  y⁻¹ =  y¹⁻¹  = y⁰ = 1


                1

similarly,  -------- is the reciprocal of x⁶ and is written as  x⁻⁶    

                x⁶                                

                        

                1

similarly,  -------- is the reciprocal of xᶟ and is written as  x⁻ᶟ    

                xᶟ 


In general –

               1

similarly, -------- is the reciprocal of x⁻ᶟ and is written as xᶟ because  

               x⁻ᶟ                                

 

                1

Because,  --------  =  x⁻⁽⁻⁾  =  xᶟ

                x⁻ᶟ