Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.3" was replaced by "(93/10)".

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

   93
  (—— • (103)) ÷ (3 • (29•59))
   10

Step  2  :

Equation at the end of step  2  :

   93
  (—— • (103)) ÷ (3•29•59)
   10

Step  3  :

 3.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  3  :

   93
  (—— • (23•53)) ÷ (3•29•59)
   10

Step  4  :

            93
 Simplify   ——
            10

Equation at the end of step  4  :

  93
  —— • (23•53)) ÷ (3•29•59)
  10

Step  5  :

Dividing exponents :

 5.1    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Dividing exponents :

 5.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  5  :

Step  6  :

               9300  
 Simplify   —————————
            (3•29•59)

Dividing exponents :

 6.1    2²   divided by   2⁹   = 2^{(2 - 9)} = 2^(-7) = ¹/_2⁷

Canceling Out :

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

Dividing exponents :

 6.3    5²   divided by   5⁹   = 5^{(2 - 9)} = 5^(-7) = ¹/_5⁷

Final result :

     31                                    
  ——————— = 3.10000 • 10-6 
  (27•57)