Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  1  :

Step  2  :

Equation at the end of step  2  :

Step  3  :

 3.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  3  :

Step  4  :

Equation at the end of step  4  :

Step  5  :

            (3•11•29•59)
 Simplify   ————————————
             (11•27•57) 

Canceling Out :

 5.1      Canceling out  11  as it appears on both sides of the fraction line

Dividing exponents :

 5.2    2⁹   divided by   2⁷   = 2^{(9 - 7)} = 2²

Dividing exponents :

 5.3    5⁹   divided by   5⁷   = 5^{(9 - 7)} = 5²

Final result :

  300