Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.7608" was replaced by "(7608/10000)".

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

   7608
  ————— • (25•55)
  10000

Step  2  :

             951
 Simplify   ————
            1250

Equation at the end of step  2  :

   951
  ———— • (25•55)
  1250

Step  3  :

Dividing exponents :

 3.1    2⁵   divided by   2¹   = 2^{(5 - 1)} = 2⁴

Dividing exponents :

 3.2    5⁵   divided by   5⁴   = 5^{(5 - 4)} = 5¹ = 5

Final result :

  (3•317•24•5)