Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "590." was replaced by "(590/1)". 2 more similar replacement(s)

Step  1  :

            590
 Simplify   ———
             1 

Equation at the end of step  1  :

   1357              
  (———— • (109)) +  590
   1000              

Step  2  :

 2.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  2  :

   1357                 
  (———— • (29•59)) +  590
   1000                 

Step  3  :

            1357
 Simplify   ————
            1000

Equation at the end of step  3  :

   1357                 
  (———— • (29•59)) +  590
   1000                 

Step  4  :

Dividing exponents :

 4.1    2⁹   divided by   2³   = 2^{(9 - 3)} = 2⁶

Dividing exponents :

 4.2    5⁹   divided by   5³   = 5^{(9 - 3)} = 5⁶

Equation at the end of step  4  :

  (23•59•26•56) +  590

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   23 • 59 • 2⁶ • 5⁶ + 590  =   59 • (23 + 10) 

Final result :

  59 • (23 + 10)