Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.5" was replaced by "(85/10)". 2 more similar replacement(s)

Step  1  :

            17
 Simplify   ——
            2 

Equation at the end of step  1  :

  14   17
  —— • ——
  10   2 

Step  2  :

 2.1     10 = 2•5

(10)¹³ = (2•5)¹³ = 2¹³ • 5¹³

Equation at the end of step  2  :

  14   17
  —— • ——
  10   2 

Step  3  :

                        17
 Divide  (213•513)  by  ——
                        2 

Multiplying exponents :

 3.1    2¹³  multiplied by  2¹   = 2^{(13 + 1)} = 2¹⁴

Equation at the end of step  3  :

  14   (214•513) 
  —— • —————————
  10      17    

Step  4  :

            7
 Simplify   —
            5

Equation at the end of step  4  :

  7   (214•513) 
  — • —————————
  5      17    

Step  5  :

Dividing exponents :

 5.1    5¹³   divided by   5¹   = 5^{(13 - 1)} = 5¹²

Final result :

  (7•214•512)                                   
  ——————————— = 1.64706 • 1012 
      17