Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "0.4" was replaced by "(4/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   4
  —— • ((2)(-6)•(5)(-6))
  10

Step  2  :

            2
 Simplify   —
            5

Equation at the end of step  2  :

  2
  — • ((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 :

     1                                     
  ——————— = 4.00000 • 10-7 
  (57•25)