Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-9" was replaced by "^(-9)".

(2): ".24" was replaced by "(24/100)".

Step  1  :

             6
 Simplify   ——
            25

Equation at the end of step  1  :

            6
  (10-9) • ——
           25

Step  2  :

 2.1     10 = 2•5

(10)^-9 = (2•5)^(-9) = (2)^(-9) • (5)^(-9)

Equation at the end of step  2  :

                       6
  ((2)(-9)•(5)(-9)) • ——
                      25

Step  3  :

Multiplying exponents :

 3.1    5⁹  multiplied by  5²   = 5^{(9 + 2)} = 5¹¹

Dividing exponents :

 3.2    2¹   divided by   2⁹   = 2^{(1 - 9)} = 2^(-8) = ¹/_2⁸

Final result :

      3                                      
  ———————— = 2.40000 • 10-10 
  (28•511)