Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "3.2" was replaced by "(32/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  32
  —— • ((2)(-11)•(5)(-11))
  10

Step  2  :

            16
 Simplify   ——
            5 

Equation at the end of step  2  :

  16
  —— • ((2)(-11)•(5)(-11))
  5 

Step  3  :

Multiplying exponents :

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

Dividing exponents :

 3.2    2⁴   divided by   2¹¹   = 2^{(4 - 11)} = 2^(-7) = ¹/_2⁷

Final result :

      1                                      
  ———————— = 3.20000 • 10-11 
  (512•27)