Solution - Power equations

Step  1  :

Equation at the end of step  1  :

Step  2  :

 2.1     9 = 32

(9)³ = (3²)³ = 3⁶

Equation at the end of step  2  :

Step  3  :

Equation at the end of step  3  :

Step  4  :

Equation at the end of step  4  :

  
 Step  5  :
               76  
 Simplify   ———————
            (36•72)

Dividing exponents :

 5.1    7⁶   divided by   7²   = 7^{(6 - 2)} = 7⁴

Final result :

  2401           
  ———— = 3.29355 
  729