Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "5.2" was replaced by "(52/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  52
  —— • ((2)(-11)•(5)(-11))
  10

Step  2  :

            26
 Simplify   ——
            5 

Equation at the end of step  2  :

  26
  —— • ((2)(-11)•(5)(-11))
  5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5¹¹   = 5^{(1 + 11)} = 5¹²

Dividing exponents :

 3.2    2¹   divided by   2¹¹   = 2^{(1 - 11)} = 2^(-10) = ¹/_2¹⁰

Final result :

      13                                      
  ————————— = 5.20000 • 10-11 
  (512•210)