Solution - Power equations

Step  1  :

 1.1     1250 = 2•54

(1250)¹ = (2•5⁴)¹ = 2 • 5⁴

Equation at the end of step  1  :

Step  2  :

            (2•54)
 Simplify   ——————
              4   

Dividing exponents :

 2.1    2¹   divided by   2²   = 2^{(1 - 2)} = 2^(-1) = ¹/_2¹ = ¹/₂

Final result :

  625             
  ——— = 312.50000 
   2