Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.285" was replaced by "(285/1000)". 2 more similar replacement(s)

Step  1  :

             57
 Simplify   ———
            200

Equation at the end of step  1  :

  13   )57
  —— • ———
  10   200

Step  2  :

 2.1     10 = 2•5

(10)¹³ = (2•5)¹³ = 2¹³ • 5¹³

Equation at the end of step  2  :

  13   )57
  —— • ———
  10   200

Step  3  :

                         57
 Divide  (213•513)  by  ———
                        200

Multiplying exponents :

 3.1    2¹³  multiplied by  2³   = 2^{(13 + 3)} = 2¹⁶

Multiplying exponents :

 3.2    5¹³  multiplied by  5²   = 5^{(13 + 2)} = 5¹⁵

Equation at the end of step  3  :

  13   (216•515) 
  —— • —————————
  10      57    

Step  4  :

            13
 Simplify   ——
            10

Equation at the end of step  4  :

  13   (216•515) 
  —— • —————————
  10      57    

Step  5  :

Dividing exponents :

 5.1    2¹⁶   divided by   2¹   = 2^{(16 - 1)} = 2¹⁵

Dividing exponents :

 5.2    5¹⁵   divided by   5¹   = 5^{(15 - 1)} = 5¹⁴

Final result :

  (13•215•514)                                   
  ———————————— = 4.56140 • 1013 
       57