Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.008" was replaced by "(1008/1000)".

Step  1  :

 1.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  1  :

  1008
  ———— • (2•5)
  1000

Step  2  :

            126
 Simplify   ———
            125

Equation at the end of step  2  :

  126
  ——— • (2•5)
  125

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2¹   = 2^{(1 + 1)} = 2²

Dividing exponents :

 3.2    5¹   divided by   5³   = 5^{(1 - 3)} = 5^(-2) = ¹/_5²

Final result :

  252            
  ——— = 10.08000 
  25