Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "44." was replaced by "(44/1)". 2 more similar replacement(s)

Step  1  :

            44
 Simplify   ——
            1 

Equation at the end of step  1  :

   33              
  (—— • (105)) +  44
   10              

Step  2  :

 2.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  2  :

   33                 
  (—— • (25•55)) +  44
   10                 

Step  3  :

            33
 Simplify   ——
            10

Equation at the end of step  3  :

   33                 
  (—— • (25•55)) +  44
   10                 

Step  4  :

Dividing exponents :

 4.1    2⁵   divided by   2¹   = 2^{(5 - 1)} = 2⁴

Dividing exponents :

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

Equation at the end of step  4  :

  (3•11•24•54) +  44

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   3 • 11 • 2⁴ • 5⁴ + 44  =   11 • (3 + 4) 

Final result :

  11 • (3 + 4)