Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.05" was replaced by "(05/100)". 2 more similar replacement(s)

Step  1  :

             1
 Simplify   ——
            20

Equation at the end of step  1  :

   6022              1
  (———— • (1023)) • ——
   1000             20

Step  2  :

 2.1     10 = 2•5

(10)²³ = (2•5)²³ = 2²³ • 5²³

Equation at the end of step  2  :

   6022                 1
  (———— • (223•523)) • ——
   1000                20

Step  3  :

            3011
 Simplify   ————
            500 

Equation at the end of step  3  :

   3011                 1
  (———— • (223•523)) • ——
   500                 20

Step  4  :

Dividing exponents :

 4.1    2²³   divided by   2²   = 2^{(23 - 2)} = 2²¹

Dividing exponents :

 4.2    5²³   divided by   5³   = 5^{(23 - 3)} = 5²⁰

Equation at the end of step  4  :

                    1
  (3011•221•520) • ——
                   20

Step  5  :

Dividing exponents :

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

Dividing exponents :

 5.2    5²⁰   divided by   5¹   = 5^{(20 - 1)} = 5¹⁹

Final result :

  (3011•219•519)