Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "36." was replaced by "(36/1)". 2 more similar replacement(s)

Step  1  :

            36
 Simplify   ——
            1 

Equation at the end of step  1  :

   64              
  (—— • (105)) +  36
   10              

Step  2  :

 2.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  2  :

   64                 
  (—— • (25•55)) +  36
   10                 

Step  3  :

            32
 Simplify   ——
            5 

Equation at the end of step  3  :

   32                 
  (—— • (25•55)) +  36
   5                  

Step  4  :

Multiplying exponents :

 4.1    2⁵  multiplied by  2⁵   = 2^{(5 + 5)} = 2¹⁰

Dividing exponents :

 4.2    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Equation at the end of step  4  :

  (210•54) +  36

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   2¹⁰ • 5⁴ + 36  =   4 • (8 + 9) 

Final result :

  4 • (8 + 9)