Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.096" was replaced by "(4096/1000)".

Step  1  :

 1.1     10 = 2•5

(10)¹²³ = (2•5)¹²³ = 2¹²³ • 5¹²³

Equation at the end of step  1  :

  4096
  ———— • (2123•5123)
  1000

Step  2  :

            512
 Simplify   ———
            125

Equation at the end of step  2  :

  512
  ——— • (2123•5123)
  125

Step  3  :

Multiplying exponents :

 3.1    2⁹  multiplied by  2¹²³   = 2^{(9 + 123)} = 2¹³²

Dividing exponents :

 3.2    5¹²³   divided by   5³   = 5^{(123 - 3)} = 5¹²⁰

Final result :

  (2132•5120)