Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

(2): "1.6" was replaced by "(16/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  16
  —— • ((2)(-17)•(5)(-17)))
  10

Step  2  :

            8
 Simplify   —
            5

Equation at the end of step  2  :

  8
  — • ((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

Equation at the end of step  3  :

      31   
  —————————
  (518•214) 

Step  4  :

                    1    
 Divide  3  by  —————————
                (518•214) 

Final result :

  (3•518•214)