Solution - Power equations

Step  1  :

Equation at the end of step  1  :

    (((3•(x5))•(y5))3) 
  ((——————————————————•(x3))•(y11))+(22x12•y4)
            3         
 Step  2  :

Equation at the end of step  2  :

    ((3x5•(y5))3) 
  ((—————————————•x3)•y11)+22x12y4
          3      
 Step  3  :
            33x15y15 
 Simplify   ————————
               3    

Dividing exponents :

 3.1    3³   divided by   3¹   = 3^{(3 - 1)} = 3²

Equation at the end of step  3  :

  ((9x15y15 • x3) • y11) +  22x12y4

Step  4  :

Multiplying exponential expressions :

 4.1    x¹⁵ multiplied by x³ = x^{(15 + 3)} = x¹⁸

Equation at the end of step  4  :

  (32x18y15 • y11) +  22x12y4
 Step  5  :
 Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   9x¹⁸y²⁶ + 4x¹²y⁴  =   x¹²y⁴ • (9x⁶y²² + 4) 

Final result :

  x12y4 • (9x6y22 + 4)