Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.155" was replaced by "(155/1000)".

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

   155
  ———— • (8 • (28•58))
  1000

Step  2  :

Multiplying exponents :

 2.1    2³  multiplied by  2⁸   = 2^{(3 + 8)} = 2¹¹

Equation at the end of step  2  :

   155
  ———— • (211•58)
  1000

Step  3  :

             31
 Simplify   ———
            200

Equation at the end of step  3  :

   31
  ——— • (211•58)
  200

Step  4  :

Dividing exponents :

 4.1    2¹¹   divided by   2³   = 2^{(11 - 3)} = 2⁸

Dividing exponents :

 4.2    5⁸   divided by   5²   = 5^{(8 - 2)} = 5⁶

Final result :

  (31•28•56)