Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-21" was replaced by "^(-21)". 1 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

        (10-21) 
  (21 • ———————) • ((2)(-21)•(5)(-21))
           7   

Step  2  :

 2.1     10 = 2•5

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

Equation at the end of step  2  :

        ((2)(-21)•(5)(-21)) 
  (21 • ———————————————————) • ((2)(-21)•(5)(-21))
                 7         

Step  3  :

             1          
 Divide  —————————  by  7
         (221•521)       

Equation at the end of step  3  :

             1     
  (21 • ———————————) • ((2)(-21)•(5)(-21))
        (221•521•7) 

Step  4  :

Canceling Out :

 4.1      Canceling out  7  as it appears on both sides of the fraction line

Equation at the end of step  4  :

      3    
  ————————— • ((2)(-21)•(5)(-21))
  (221•521) 

Step  5  :

Multiplying exponents :

 5.1    2²¹  multiplied by  2²¹   = 2^{(21 + 21)} = 2⁴²

Multiplying exponents :

 5.2    5²¹  multiplied by  5²¹   = 5^{(21 + 21)} = 5⁴²

Final result :

      3                                       
  ————————— = 3.00000 • 10-42 
  (242•542)