Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.16" was replaced by "(916/100)".

Step  1  :

            4
 Simplify   —
            3

Equation at the end of step  1  :

   916            4
  (——— • (107)) • —
   100            3

Step  2  :

 2.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  2  :

   916              4
  (——— • (27•57)) • —
   100              3

Step  3  :

            229
 Simplify   ———
            25 

Equation at the end of step  3  :

   229              4
  (——— • (27•57)) • —
   25               3

Step  4  :

Dividing exponents :

 4.1    5⁷   divided by   5²   = 5^{(7 - 2)} = 5⁵

Equation at the end of step  4  :

                4
  (229•27•55) • —
                3

Step  5  :

Multiplying exponents :

 5.1    2⁷  multiplied by  2²   = 2^{(7 + 2)} = 2⁹

Final result :

  (229•29•55)                                 
  ——————————— = 1.22133 • 108 
       3