Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "0.00004" was replaced by "(00004/100000)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

     4  
  —————— ÷ ((2)(-9)•(5)(-9))
  100000

Step  2  :

              1  
 Simplify   —————
            25000

Equation at the end of step  2  :

    1  
  ————— ÷ ((2)(-9)•(5)(-9))
  25000

Step  3  :

           1        
 Divide  —————  by  ((2)(-9)•(5)(-9))
         25000      

 3.1    Dividing fractions

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

  1          1            1       (29•59)
—————  ÷  ———————   =   —————  •  ———————
25000     (29•59)       25000        1   

Dividing exponents :

 3.2    2⁹   divided by   2³   = 2^{(9 - 3)} = 2⁶

Dividing exponents :

 3.3    5⁹   divided by   5⁵   = 5^{(9 - 5)} = 5⁴

Final result :

  (26•54)