Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)".

(2): "3.63" was replaced by "(363/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  1  :

  )363
  ———— • ((2)(-4)•(5)(-4)))
  (100

Step  2  :

            363
 Simplify   ———
            100

Equation at the end of step  2  :

  )363
  ———— • ((2)(-4)•(5)(-4)))
  (100

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2⁴   = 2^{(2 + 4)} = 2⁶

Raising to a Power :

 3.2    5²  multiplied by  5⁴   = 5^{(2 + 4)} = 5⁶

Equation at the end of step  3  :

  ))363 
  ———————
  (26•56)

Step  4  :

 4.1     10 = 2•5

(10)⁴ = (2•5)⁴ = 2⁴ • 5⁴

Equation at the end of step  4  :

  ))363 
  ———————
  (26•56)

Step  5  :

Multiplying exponents :

 5.1    2²  multiplied by  2⁴   = 2^{(2 + 4)} = 2⁶

Equation at the end of step  5  :

  4)363 
  ———————
  (26•56)

Step  6  :

                        363  
 Divide  (26•54)  by  ———————
                      (26•56)

Multiplying exponents :

 6.1    2⁶  multiplied by  2⁶   = 2^{(6 + 6)} = 2¹²

Multiplying exponents :

 6.2    5⁴  multiplied by  5⁶   = 5^{(4 + 6)} = 5¹⁰

Final result :

  (212•510)                                  
  ————————— = 1.10193 • 108 
     363