Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-10" was replaced by "^(-10)".

(2): "8.128" was replaced by "(8128/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-10 = (2•5)^(-10) = (2)^(-10) • (5)^(-10)

Equation at the end of step  1  :

  8128
  ———— • ((2)(-10)•(5)(-10))
  1000

Step  2  :

            1016
 Simplify   ————
            125 

Equation at the end of step  2  :

  1016
  ———— • ((2)(-10)•(5)(-10))
  125 

Step  3  :

Multiplying exponents :

 3.1    5³  multiplied by  5¹⁰   = 5^{(3 + 10)} = 5¹³

Dividing exponents :

 3.2    2³   divided by   2¹⁰   = 2^{(3 - 10)} = 2^(-7) = ¹/_2⁷

Final result :

     127                                     
  ———————— = 8.12800 • 10-10 
  (513•27)