Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-22" was replaced by "^(-22)".

(2): "3.9" was replaced by "(39/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-22 = (2•5)^(-22) = (2)^(-22) • (5)^(-22)

Equation at the end of step  1  :

  39
  —— • ((2)(-22)•(5)(-22))
  10

Step  2  :

            39
 Simplify   ——
            10

Equation at the end of step  2  :

  39
  —— • ((2)(-22)•(5)(-22))
  10

Step  3  :

                39
 Divide  1  by  ——
                10

Equation at the end of step  3  :

  10
  —— • ((2)(-22)•(5)(-22))
  39

Step  4  :

Dividing exponents :

 4.1    2¹   divided by   2²²   = 2^{(1 - 22)} = 2^(-21) = ¹/_2²¹

Dividing exponents :

 4.2    5¹   divided by   5²²   = 5^{(1 - 22)} = 5^(-21) = ¹/_5²¹

Final result :

         1                                         
  —————————————— = 2.56410 • 10-23 
  (3•13•221•521)