Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.568" was replaced by "(1568/1000)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

  1568
  ———— • (22•52)
  1000

Step  2  :

            196
 Simplify   ———
            125

Equation at the end of step  2  :

  196
  ——— • (22•52)
  125

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2²   = 2^{(2 + 2)} = 2⁴

Dividing exponents :

 3.2    5²   divided by   5³   = 5^{(2 - 3)} = 5^(-1) = ¹/_5¹ = ¹/₅

Final result :

  784             
  ——— = 156.80000 
   5