Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "23.568" was replaced by "(23568/1000)".

Step  1  :

 1.1     1010 = 2•5•101

(1010)¹⁵ = (2•5•101)¹⁵ = 2¹⁵ • 5¹⁵ • 101¹⁵

Equation at the end of step  1  :

  23568
  ————— • (215•515•10115)
  1000 

Step  2  :

            2946
 Simplify   ————
            125 

Equation at the end of step  2  :

  2946
  ———— • (215•515•10115)
  125 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2¹⁵   = 2^{(1 + 15)} = 2¹⁶

Dividing exponents :

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

Final result :

  (216•3•491•512•10115)