Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "44.01" was replaced by "(4401/100)". 3 more similar replacement(s)

Step  1  :

            4401
 Simplify   ————
            100 

Equation at the end of step  1  :

    45 602          4401
  ((——•———)•(1023))•————
    10 100          100 

Step  2  :

 2.1     10 = 2•5

(10)²³ = (2•5)²³ = 2²³ • 5²³

Equation at the end of step  2  :

    45   602                 4401
  ((—— • ———) • (223•523)) • ————
    10   100                 100 

Step  3  :

            301
 Simplify   ———
            50 

Equation at the end of step  3  :

    45   301                 4401
  ((—— • ———) • (223•523)) • ————
    10   50                  100 

Step  4  :

            9
 Simplify   —
            2

Equation at the end of step  4  :

    9   301                 4401
  ((— • ———) • (223•523)) • ————
    2   50                  100 

Step  5  :

Dividing exponents :

 5.1    2²³   divided by   2²   = 2^{(23 - 2)} = 2²¹

Dividing exponents :

 5.2    5²³   divided by   5²   = 5^{(23 - 2)} = 5²¹

Equation at the end of step  5  :

                      4401
  (32•7•43•221•521) • ————
                      100 

Step  6  :

Multiplying exponents :

 6.1    3²  multiplied by  3³   = 3^{(2 + 3)} = 3⁵

Dividing exponents :

 6.2    2²¹   divided by   2²   = 2^{(21 - 2)} = 2¹⁹

Dividing exponents :

 6.3    5²¹   divided by   5²   = 5^{(21 - 2)} = 5¹⁹

Final result :

  (35•7•43•219•519•163)