Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.46" was replaced by "(146/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   146
  (——— • ((2)(-22)•(5)(-22))) • 136
   100

Step  2  :

            73
 Simplify   ——
            50

Equation at the end of step  2  :

   73
  (—— • ((2)(-22)•(5)(-22))) • 136
   50

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2²²   = 2^{(1 + 22)} = 2²³

Multiplying exponents :

 3.2    5²  multiplied by  5²²   = 5^{(2 + 22)} = 5²⁴

Equation at the end of step  3  :

      73   
  ————————— • 136
  (223•524) 

Step  4  :

Dividing exponents :

 4.1    2³   divided by   2²³   = 2^{(3 - 23)} = 2^(-20) = ¹/_2²⁰

Final result :

     1241                                     
  ————————— = 1.98560 • 10-20 
  (220•524)