Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.2" was replaced by "(22/10)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   22              
  (—— • (105)) -  (3 • (22•52))
   10              

Step  2  :

Equation at the end of step  2  :

   22              
  (—— • (105)) -  (3•22•52)
   10              

Step  3  :

 3.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  3  :

   22                 
  (—— • (25•55)) -  (3•22•52)
   10                 

Step  4  :

            11
 Simplify   ——
            5 

Equation at the end of step  4  :

   11                 
  (—— • (25•55)) -  (3•22•52)
   5                  

Step  5  :

Dividing exponents :

 5.1    5⁵   divided by   5¹   = 5^{(5 - 1)} = 5⁴

Equation at the end of step  5  :

  (11•25•54) -  (3•22•52)

Step  6  :

Final result :

  11 - 300