Solution - Power equations

Step  1  :

 1.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

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   ———————
            (26•56)

Dividing exponents :

 3.1    2⁴   divided by   2⁶   = 2^{(4 - 6)} = 2^(-2) = ¹/_2²

Dividing exponents :

 3.2    5⁴   divided by   5⁶   = 5^{(4 - 6)} = 5^(-2) = ¹/_5²

Final result :

   1            
  ——— = 0.01000 
  100