Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.875" was replaced by "(1875/1000)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

  1875
  ———— • (22•52)
  1000

Step  2  :

            15
 Simplify   ——
            8 

Equation at the end of step  2  :

  15
  —— • (22•52)
  8 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5²   = 5^{(1 + 2)} = 5³

Dividing exponents :

 3.2    2²   divided by   2³   = 2^{(2 - 3)} = 2^(-1) = ¹/_2¹ = ¹/₂

Final result :

  375             
  ——— = 187.50000 
   2