Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)".

Step  1  :

 1.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  1  :

  (8 • ((2)(-4)•(5)(-4)))2

Step  2  :

Raising to a Power :

 2.1    2³   divided by   2⁴   = 2^{(3 - 4)} = 2^(-1) = ¹/_2¹ = ¹/₂

Equation at the end of step  2  :

    1 
 (————)2
  1250

Step  3  :

 3.1     1250 = 2•5⁴ (1250)² = (2•5⁴)² = 2² • 5⁸

Final result :

     1                                     
  ——————— = 6.40000 • 10-7 
  (22•58)