Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.000757" was replaced by "(000757/1000000)". 2 more similar replacement(s)

Step  1  :

              757  
 Simplify   ———————
            1000000

Equation at the end of step  1  :

   128               757  
  (——— • (1014)) • ———————
   100             1000000

Step  2  :

 2.1     10 = 2•5

(10)¹⁴ = (2•5)¹⁴ = 2¹⁴ • 5¹⁴

Equation at the end of step  2  :

   128                  757  
  (——— • (214•514)) • ———————
   100                1000000

Step  3  :

            32
 Simplify   ——
            25

Equation at the end of step  3  :

   32                  757  
  (—— • (214•514)) • ———————
   25                1000000

Step  4  :

Multiplying exponents :

 4.1    2⁵  multiplied by  2¹⁴   = 2^{(5 + 14)} = 2¹⁹

Dividing exponents :

 4.2    5¹⁴   divided by   5²   = 5^{(14 - 2)} = 5¹²

Equation at the end of step  4  :

                757  
  (219•512) • ———————
              1000000

Step  5  :

Dividing exponents :

 5.1    2¹⁹   divided by   2⁶   = 2^{(19 - 6)} = 2¹³

Dividing exponents :

 5.2    5¹²   divided by   5⁶   = 5^{(12 - 6)} = 5⁶

Final result :

  (213•56•757)