Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.1" was replaced by "(41/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   23         41
  (——•(102))+(——•(22•52))
   10         10

Step  2  :

            41
 Simplify   ——
            10

Equation at the end of step  2  :

   23              41
  (—— • (102)) +  (—— • (22•52))
   10              10

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Raising to a Power :

 3.2    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  3  :

   23              
  (—— • (102)) +  410
   10              

Step  4  :

 4.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  4  :

   23                 
  (—— • (22•52)) +  410
   10                 

Step  5  :

            23
 Simplify   ——
            10

Equation at the end of step  5  :

   23                 
  (—— • (22•52)) +  410
   10                 

Step  6  :

Dividing exponents :

 6.1    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Dividing exponents :

 6.2    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  6  :

  230 +  410

Step  7  :

Final result :

  640