Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.02" was replaced by "(102/100)".

Step  1  :

            51
 Simplify   ——
            50

Equation at the end of step  1  :

            51
  315000 • (——)20)
            50

Step  2  :

 2.1     51 = 3•17

(51)²⁰ = (3•17)²⁰ = 3²⁰ • 17²⁰  2.2     50 = 2•5² (50)²⁰ = (2•5²)²⁰ = 2²⁰ • 5⁴⁰

Equation at the end of step  2  :

           (320•1720)
  315000 • ——————————
           (220•540) 

Step  3  :

Multiplying exponents :

 3.1    3²  multiplied by  3²⁰   = 3^{(2 + 20)} = 3²²

Dividing exponents :

 3.2    2³   divided by   2²⁰   = 2^{(3 - 20)} = 2^(-17) = ¹/_2¹⁷

Dividing exponents :

 3.3    5⁴   divided by   5⁴⁰   = 5^{(4 - 40)} = 5^(-36) = ¹/_5³⁶

Final result :

  (322•7•1720)                                 
  ———————————— = 4.68073 • 105 
   (217•536)