Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.7" was replaced by "(87/10)". 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  :

    243     87
  (————— • (—— • (22•52))) • 37
   10000    10

Step  2  :

            87
 Simplify   ——
            10

Equation at the end of step  2  :

    243     87
  (————— • (—— • (22•52))) • 37
   10000    10

Step  3  :

Dividing exponents :

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

Dividing exponents :

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

Equation at the end of step  3  :

    243 
  (————— • 870) • 37
   10000

Step  4  :

             243 
 Simplify   —————
            10000

Equation at the end of step  4  :

    243 
  (————— • 870) • 37
   10000

Step  5  :

Final result :

  782217             
  —————— = 782.21700 
   1000