Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.022" was replaced by "(6022/1000)".

Step  1  :

 1.1     10 = 2•5

(10)²³ = (2•5)²³ = 2²³ • 5²³

Equation at the end of step  1  :

   6022
  (———— • (223•523)) • 8
   1000

Step  2  :

            3011
 Simplify   ————
            500 

Equation at the end of step  2  :

   3011
  (———— • (223•523)) • 8
   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  :

  (3011•221•520) • 8

Step  4  :

Multiplying exponents :

 4.1    2²¹  multiplied by  2³   = 2^{(21 + 3)} = 2²⁴

Final result :

  (3011•224•520)