Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

Step  2  :

 2.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  2  :

Step  3  :

            (29•59)
 Simplify   ———————
            (23•53)

Dividing exponents :

 3.1    2⁹   divided by   2³   = 2^{(9 - 3)} = 2⁶

Dividing exponents :

 3.2    5⁹   divided by   5³   = 5^{(9 - 3)} = 5⁶

Final result :

  (26•56)