Solution - Power equations

Step  1  :

            2x
 Simplify   ——
            x2

Dividing exponential expressions :

 1.1    x¹ divided by x² = x^{(1 - 2)} = x^(-1) = ¹/_x¹ = ¹/_x

Equation at the end of step  1  :

      3x        2
  —————————— -  —
  ((x2) • 3)    x
 Step  2  :

Equation at the end of step  2  :

   3x    2
  ——— -  —
  3x2    x

Step  3  :

             3x
 Simplify   ———
            3x2

Dividing exponential expressions :

 3.1    x¹ divided by x² = x^{(1 - 2)} = x^(-1) = ¹/_x¹ = ¹/_x

Canceling Out :

 3.2      Canceling out  3  as it appears on both sides of the fraction line

Equation at the end of step  3  :

  1    2
  — -  —
  x    x

Step  4  :

Adding fractions which have a common denominator :

 4.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 1 - (2)     -1
 ———————  =  ——
    x        x 

Final result :

  -1
  ——
  x