Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

Step  2  :

 2.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  2  :

Step  3  :

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

Dividing exponents :

 3.1    2³   divided by   2⁹   = 2^{(3 - 9)} = 2^(-6) = ¹/_2⁶

Dividing exponents :

 3.2    5³   divided by   5⁹   = 5^{(3 - 9)} = 5^(-6) = ¹/_5⁶

Final result :

     1                                      
  ——————— = 10.00000 • 10-7 
  (26•56)