Solution - Power equations

Step  1  :

             d
 Simplify   ——
            dx

Canceling Out :

 1.1    Canceling out d as it appears on both sides of the fraction line

Equation at the end of step  1  :

     1
  (((— • 4) • x55) • x43) • x2
     x

Step  2  :

Dividing exponential expressions :

 2.1    x⁵⁵ divided by x¹ = x^{(55 - 1)} = x⁵⁴

Equation at the end of step  2  :

  (4x54 • x43) • x2

Step  3  :

Multiplying exponential expressions :

 3.1    x⁵⁴ multiplied by x⁴³ = x^{(54 + 43)} = x⁹⁷

Equation at the end of step  3  :

  22x97 • x2

Step  4  :

Multiplying exponential expressions :

 4.1    x⁹⁷ multiplied by x² = x^{(97 + 2)} = x⁹⁹

Final result :

  22x99