Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

(2): "42.8" was replaced by "(428/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-6 = (2•5)^(-6) = (2)^(-6) • (5)^(-6)

Equation at the end of step  1  :

  428
  ——— • ((2)(-6)•(5)(-6))
  10 

Step  2  :

            214
 Simplify   ———
             5 

Equation at the end of step  2  :

  214
  ——— • ((2)(-6)•(5)(-6))
   5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5⁶   = 5^{(1 + 6)} = 5⁷

Dividing exponents :

 3.2    2¹   divided by   2⁶   = 2^{(1 - 6)} = 2^(-5) = ¹/_2⁵

Final result :

    107             
  ——————— = 0.00004 
  (57•25)