Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-41" was replaced by "^(-41)".

(2): "4.301" was replaced by "(4301/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-41 = (2•5)^(-41) = (2)^(-41) • (5)^(-41)

Equation at the end of step  1  :

  4301
  ———— • ((2)(-41)•(5)(-41))
  1000

Step  2  :

            4301
 Simplify   ————
            1000

Equation at the end of step  2  :

  4301
  ———— • ((2)(-41)•(5)(-41))
  1000

Step  3  :

Multiplying exponents :

 3.1    2³  multiplied by  2⁴¹   = 2^{(3 + 41)} = 2⁴⁴

Multiplying exponents :

 3.2    5³  multiplied by  5⁴¹   = 5^{(3 + 41)} = 5⁴⁴

Final result :

     4301                                     
  ————————— = 4.30100 • 10-41 
  (244•544)