Solution - Power equations

Step  1  :

            x
 Simplify   —
            3

Equation at the end of step  1  :

  ((16x)1)   x
  ———————— • —
     2       3

Step  2  :

 2.1     16 = 24

(16)¹ = (2⁴)¹ = 2⁴

Equation at the end of step  2  :

  24x   x
  ——— • —
   2    3

Step  3  :

            24x
 Simplify   ———
             2 

Dividing exponents :

 3.1    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Equation at the end of step  3  :

       x
  8x • —
       3

Step  4  :

Multiplying exponential expressions :

 4.1    x¹ multiplied by x¹ = x^{(1 + 1)} = x²

Final result :

  8x2
  ———
   3