Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.91" was replaced by "(591/100)".

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

  0591
  ———— • (29•59))
  (100

Step  2  :

            591
 Simplify   ———
            100

Equation at the end of step  2  :

  0591
  ———— • (29•59))
  (100

Step  3  :

Dividing exponents :

 3.1    2⁹   divided by   2²   = 2^{(9 - 2)} = 2⁷

Dividing exponents :

 3.2    5⁹   divided by   5²   = 5^{(9 - 2)} = 5⁷

Equation at the end of step  3  :

Step  4  :

                  30     
 Simplify   —————————————
            (3•197•27•57)

Dividing exponents :

 4.1    2¹   divided by   2⁷   = 2^{(1 - 7)} = 2^(-6) = ¹/_2⁶

Canceling Out :

 4.2      Canceling out  3  as it appears on both sides of the fraction line

Dividing exponents :

 4.3    5¹   divided by   5⁷   = 5^{(1 - 7)} = 5^(-6) = ¹/_5⁶

Final result :

       1                                       
  ——————————— = 5.07614 • 10-9 
  (197•26•56)