Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-21" was replaced by "^(-21)".

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

Step  1  :

 1.1     10 = 2•5

(10)^-21 = (2•5)^(-21) = (2)^(-21) • (5)^(-21)

Equation at the end of step  1  :

  16
  —— • ((2)(-21)•(5)(-21))
  10

Step  2  :

            8
 Simplify   —
            5

Equation at the end of step  2  :

  8
  — • ((2)(-21)•(5)(-21))
  5

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5²¹   = 5^{(1 + 21)} = 5²²

Dividing exponents :

 3.2    2³   divided by   2²¹   = 2^{(3 - 21)} = 2^(-18) = ¹/_2¹⁸

Final result :

      1                                       
  ————————— = 1.60000 • 10-21 
  (522•218)