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)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  2  :

Step  3  :

            (24•54)
 Simplify   ———————
            (29•59)

Dividing exponents :

 3.1    2⁴   divided by   2⁹   = 2^{(4 - 9)} = 2^(-5) = ¹/_2⁵

Dividing exponents :

 3.2    5⁴   divided by   5⁹   = 5^{(4 - 9)} = 5^(-5) = ¹/_5⁵

Final result :

     1                                      
  ——————— = 10.00000 • 10-6 
  (25•55)