Solution - Power equations

Step  1  :

Equation at the end of step  1  :

     (x2)   
  —————————— • (2•3x4)
  (4 • (x5))
 Step  2  :

Equation at the end of step  2  :

  (x2)
  ———— • (2•3x4)
  22x5
 Step  3  :
             x2 
 Simplify   ————
            22x5

Dividing exponential expressions :

 3.1    x² divided by x⁵ = x^{(2 - 5)} = x^(-3) = ¹/_x³

Equation at the end of step  3  :

   1 
  ——— • (2•3x4)
  4x3

Step  4  :

Dividing exponential expressions :

 4.1    x⁴ divided by x³ = x^{(4 - 3)} = x¹ = x

Dividing exponents :

 4.2    2¹   divided by   2²   = 2^{(1 - 2)} = 2^(-1) = ¹/_2¹ = ¹/₂

Final result :

  3x
  ——
  2