Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.2" was replaced by "(42/10)". 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  :

  50    42
  —— • (—— • (22•52))
  1     10

Step  2  :

            21
 Simplify   ——
            5 

Equation at the end of step  2  :

  50    21
  —— • (—— • (22•52))
  1     5 

Step  3  :

Dividing exponents :

 3.1    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Equation at the end of step  3  :

  50
  —— • 420
  1 

Step  4  :

            50
 Simplify   ——
            1 

Equation at the end of step  4  :

  50 • 420

Step  5  :

Final result :

  21000