Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

(2): "4.4" was replaced by "(44/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-6 = (2•5)^(-6) = (2)^(-6) • (5)^(-6)

Equation at the end of step  1  :

   1   44
  (—•((——•((2)(-6)•(5)(-6)))2))•9
   3   10

Step  2  :

            22
 Simplify   ——
            5 

Equation at the end of step  2  :

   1     22
  (— • ((—— • ((2)(-6)•(5)(-6)))2)) • 9
   3     5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5⁶   = 5^{(1 + 6)} = 5⁷

Dividing exponents :

 3.2    2¹   divided by   2⁶   = 2^{(1 - 6)} = 2^(-5) = ¹/_2⁵

Equation at the end of step  3  :

   1       11  
  (— • (———————)2)) • 9
   3    (57•25)

Step  4  :

Equation at the end of step  4  :

   1      112   
  (— • —————————) • 9
   3   (514•210) 

Step  5  :

            1
 Simplify   —
            3

Equation at the end of step  5  :

   1      112   
  (— • —————————) • 9
   3   (514•210) 

Step  6  :

Equation at the end of step  6  :

      121    
  ——————————— • 9
  (3•514•210) 

Step  7  :

Dividing exponents :

 7.1    3²   divided by   3¹   = 3^{(2 - 1)} = 3¹ = 3

Final result :

     363                                      
  ————————— = 5.80800 • 10-11 
  (514•210)