Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.022" was replaced by "(6022/1000)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)²³ = (2•5)²³ = 2²³ • 5²³

Equation at the end of step  1  :

  2958    6022
  ———— • (———— • (223•523))
  1000    1000

Step  2  :

            3011
 Simplify   ————
            500 

Equation at the end of step  2  :

  2958    3011
  ———— • (———— • (223•523))
  1000    500 

Step  3  :

Dividing exponents :

 3.1    2²³   divided by   2²   = 2^{(23 - 2)} = 2²¹

Dividing exponents :

 3.2    5²³   divided by   5³   = 5^{(23 - 3)} = 5²⁰

Equation at the end of step  3  :

  2958
  ———— • (3011•221•520)
  1000

Step  4  :

            1479
 Simplify   ————
            500 

Equation at the end of step  4  :

  1479
  ———— • (3011•221•520)
  500 

Step  5  :

Dividing exponents :

 5.1    2²¹   divided by   2²   = 2^{(21 - 2)} = 2¹⁹

Dividing exponents :

 5.2    5²⁰   divided by   5³   = 5^{(20 - 3)} = 5¹⁷

Final result :

  (3•17•29•3011•219•517)