EXPONENTIALS K6

 

Simplify 500

                64^-2/3

 

Solution

 

= 500

    64^-2/3

 

=  500 x 1

             64^-2/3

 

= 500 x 64^2/3        [Since 1/a^-n= aⁿ]

 

= 500 x (64^1/3) ²        [Since 64^1/3= cube root of 64 = 4]

 

= 500 x (4)²                

 

= 500 x 16

 

= 8000        

         

Hence    500       = 8000

              64^-2/3        

 

 

TRY THIS…………………………

 

 

Simplify 200           
             27^-2/3