Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "5.91" was replaced by "(591/100)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

  615    591
  ——— ÷ (——— • (29•59))
  10     100

Step  2  :

            591
 Simplify   ———
            100

Equation at the end of step  2  :

  615    591
  ——— ÷ (——— • (29•59))
  10     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  :

  615
  ——— ÷ (3•197•27•57)
  10 

Step  4  :

            123
 Simplify   ———
             2 

Equation at the end of step  4  :

  123
  ——— ÷ (3•197•27•57)
   2 

Step  5  :

         123      
 Divide  ———  by  (3•197•27•57)
          2       

Multiplying exponents :

 5.1    2¹  multiplied by  2⁷   = 2^{(1 + 7)} = 2⁸

Canceling Out :

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

Final result :

       41                                      
  ——————————— = 1.04061 • 10-8 
  (28•197•57)