Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.84" was replaced by "(384/100)".

Step  1  :

 1.1     10 = 2•5

(10)⁸ = (2•5)⁸ = 2⁸ • 5⁸

Equation at the end of step  1  :

   384
  (——— • (28•58))2
   100

Step  2  :

            96
 Simplify   ——
            25

Equation at the end of step  2  :

   96
  (—— • (28•58))2
   25

Step  3  :

Multiplying exponents :

 3.1    2⁵  multiplied by  2⁸   = 2^{(5 + 8)} = 2¹³

Dividing exponents :

 3.2    5⁸   divided by   5²   = 5^{(8 - 2)} = 5⁶

Equation at the end of step  3  :

  (213•3•56)2

Step  4  :

Final result :

  (226•32•512)