Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-17" was replaced by "^(-17)".

(2): "14.4" was replaced by "(144/10)".

Step  1  :

 1.1     10 = 2•5

(10)^-17 = (2•5)^(-17) = (2)^(-17) • (5)^(-17)

Equation at the end of step  1  :

  144
  ——— • ((2)(-17)•(5)(-17))
  10 

Step  2  :

            72
 Simplify   ——
            5 

Equation at the end of step  2  :

  72
  —— • ((2)(-17)•(5)(-17))
  5 

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5¹⁷   = 5^{(1 + 17)} = 5¹⁸

Dividing exponents :

 3.2    2³   divided by   2¹⁷   = 2^{(3 - 17)} = 2^(-14) = ¹/_2¹⁴

Final result :

      9                                       
  ————————— = 1.44000 • 10-16 
  (518•214)