Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.39" was replaced by "(139/100)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   139              
  (——— • (105)) -  (4 • (22•52))
   100              

Step  2  :

Raising to a Power :

 2.1    2²  multiplied by  2²   = 2^{(2 + 2)} = 2⁴

Equation at the end of step  2  :

   139              
  (——— • (105)) -  (24•52)
   100              

Step  3  :

 3.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  3  :

   139                 
  (——— • (25•55)) -  (24•52)
   100                 

Step  4  :

            139
 Simplify   ———
            100

Equation at the end of step  4  :

   139                 
  (——— • (25•55)) -  (24•52)
   100                 

Step  5  :

Dividing exponents :

 5.1    2⁵   divided by   2²   = 2^{(5 - 2)} = 2³

Dividing exponents :

 5.2    5⁵   divided by   5²   = 5^{(5 - 2)} = 5³

Equation at the end of step  5  :

  (139•23•53) -  (24•52)

Step  6  :

Final result :

  139 - 400