Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1602.4" was replaced by "(16024/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

  16024
  ————— • (25•55)
   10  

Step  2  :

            8012
 Simplify   ————
             5  

Equation at the end of step  2  :

  8012
  ———— • (25•55)
   5  

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2⁵   = 2^{(2 + 5)} = 2⁷

Dividing exponents :

 3.2    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Final result :

  (27•2003•54)