Solution - Power equations

Step  1  :

 1.1     6 = 2•3

(6)²⁴ = (2•3)²⁴ = 2²⁴ • 3²⁴

Equation at the end of step  1  :

Step  2  :

Multiplying exponents :

 2.1    2²⁴  multiplied by  2¹   = 2^{(24 + 1)} = 2²⁵

Multiplying exponents :

 2.2    3²⁴  multiplied by  3¹   = 3^{(24 + 1)} = 3²⁵

Equation at the end of step  2  :

Step  3  :

Multiplying exponents :

 3.1    3²⁵  multiplied by  3¹   = 3^{(25 + 1)} = 3²⁶

Equation at the end of step  3  :

Step  4  :

               -87   
 Simplify   —————————
            (225•326) 

Dividing exponents :

 4.1    3¹   divided by   3²⁶   = 3^{(1 - 26)} = 3^(-25) = ¹/_3²⁵

Final result :

     -29                                       
  ————————— = -1.02004 • 10-18 
  (225•325)