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
  250 • (——)8)
         50

Step  2  :

 2.1     51 = 3•17

(51)⁸ = (3•17)⁸ = 3⁸ • 17⁸  2.2     50 = 2•5² (50)⁸ = (2•5²)⁸ = 2⁸ • 5¹⁶

Equation at the end of step  2  :

        (38•178)
  250 • ————————
        (28•516)

Step  3  :

Dividing exponents :

 3.1    2¹   divided by   2⁸   = 2^{(1 - 8)} = 2^(-7) = ¹/_2⁷

Dividing exponents :

 3.2    5³   divided by   5¹⁶   = 5^{(3 - 16)} = 5^(-13) = ¹/_5¹³

Final result :

  (38•178)             
  ———————— = 292.91485 
  (27•513)