Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "0.02" was replaced by "(02/100)".

Step  1  :

             1
 Simplify   ——
            50

Equation at the end of step  1  :

  )1
  ——
  50

Step  2  :

 2.1     10 = 2•5

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

Equation at the end of step  2  :

  )1
  ——
  50

Step  3  :

            1          1
 Divide  ———————  by  ——
         (29•59)      50

 3.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

   1         1          1        50
———————  ÷  ——   =   ———————  •  ——
(29•59)     50       (29•59)     1 

Dividing exponents :

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

Dividing exponents :

 3.3    5²   divided by   5⁹   = 5^{(2 - 9)} = 5^(-7) = ¹/_5⁷

Final result :

     1                                     
  ——————— = 5.00000 • 10-8 
  (28•57)