Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "9.28" was replaced by "(928/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  928
  ——— • ((2)(-11)•(5)(-11))
  100

Step  2  :

            232
 Simplify   ———
            25 

Equation at the end of step  2  :

  232
  ——— • ((2)(-11)•(5)(-11))
  25 

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5¹¹   = 5^{(2 + 11)} = 5¹³

Dividing exponents :

 3.2    2³   divided by   2¹¹   = 2^{(3 - 11)} = 2^(-8) = ¹/_2⁸

Final result :

     29                                      
  ———————— = 9.28000 • 10-11 
  (513•28)