Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-8" was replaced by "^(-8)".

(2): "2.5" was replaced by "(25/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-8 = (2•5)^(-8) = (2)^(-8) • (5)^(-8)

Equation at the end of step  1  :

  25
  —— • ((2)(-8)•(5)(-8))
  10

Step  2  :

            5
 Simplify   —
            2

Equation at the end of step  2  :

  5
  — • ((2)(-8)•(5)(-8))
  2

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁸   = 2^{(1 + 8)} = 2⁹

Dividing exponents :

 3.2    5¹   divided by   5⁸   = 5^{(1 - 8)} = 5^(-7) = ¹/_5⁷

Final result :

     1                                     
  ——————— = 2.50000 • 10-8 
  (29•57)