Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.778" was replaced by "(4778/1000)".

Step  1  :

 1.1     10 = 2•5

(10)¹⁵ = (2•5)¹⁵ = 2¹⁵ • 5¹⁵

Equation at the end of step  1  :

  4778
  ———— • (215•515)
  1000

Step  2  :

            2389
 Simplify   ————
            500 

Equation at the end of step  2  :

  2389
  ———— • (215•515)
  500 

Step  3  :

Dividing exponents :

 3.1    2¹⁵   divided by   2²   = 2^{(15 - 2)} = 2¹³

Dividing exponents :

 3.2    5¹⁵   divided by   5³   = 5^{(15 - 3)} = 5¹²

Final result :

  (2389•213•512)