Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.02" was replaced by "(502/100)".

Step  1  :

 1.1     10 = 2•5

(10)¹⁵ = (2•5)¹⁵ = 2¹⁵ • 5¹⁵

Equation at the end of step  1  :

  502
  ——— • (215•515)
  100

Step  2  :

            251
 Simplify   ———
            50 

Equation at the end of step  2  :

  251
  ——— • (215•515)
  50 

Step  3  :

Dividing exponents :

 3.1    2¹⁵   divided by   2¹   = 2^{(15 - 1)} = 2¹⁴

Dividing exponents :

 3.2    5¹⁵   divided by   5²   = 5^{(15 - 2)} = 5¹³

Final result :

  (251•214•513)