Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-11" was replaced by "^(-11)".

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

Step  1  :

 1.1     10 = 2•5

(10)^-11 = (2•5)^(-11) = (2)^(-11) • (5)^(-11)

Equation at the end of step  1  :

  25
  —— • ((2)(-11)•(5)(-11))
  10

Step  2  :

            5
 Simplify   —
            2

Equation at the end of step  2  :

  5
  — • ((2)(-11)•(5)(-11))
  2

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2¹¹   = 2^{(1 + 11)} = 2¹²

Dividing exponents :

 3.2    5¹   divided by   5¹¹   = 5^{(1 - 11)} = 5^(-10) = ¹/_5¹⁰

Final result :

      1                                       
  ————————— = 2.50000 • 10-11 
  (212•510)