Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.2" was replaced by "(72/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)¹⁰ = (2•5)¹⁰ = 2¹⁰ • 5¹⁰

Equation at the end of step  1  :

  18 )72
  ——•———•(210•510))
  10 (10

Step  2  :

            36
 Simplify   ——
            5 

Equation at the end of step  2  :

  18   36
  —— • —— • (210•510))
  10   (5

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2¹⁰   = 2^{(2 + 10)} = 2¹²

Raising to a Power :

 3.2    5¹⁰   divided by   5¹   = 5^{(10 - 1)} = 5⁹

Equation at the end of step  3  :

  18      (107)   
  —— • ———————————
  10   (212•32•59) 

Step  4  :

 4.1     10 = 2•5

(10)⁷ = (2•5)⁷ = 2⁷ • 5⁷

Equation at the end of step  4  :

  18     (27•57)  
  —— • ———————————
  10   (212•32•59)

Step  5  :

              (27•57)  
 Simplify   ———————————
            (212•32•59)

Dividing exponents :

 5.1    2⁷   divided by   2¹²   = 2^{(7 - 12)} = 2^(-5) = ¹/_2⁵

Dividing exponents :

 5.2    5⁷   divided by   5⁹   = 5^{(7 - 9)} = 5^(-2) = ¹/_5²

Equation at the end of step  5  :

  18     1 
  —— • ————
  10   7200

Step  6  :

            9
 Simplify   —
            5

Equation at the end of step  6  :

  9     1 
  — • ————
  5   7200

Step  7  :

Final result :

    1            
  ———— = 0.00025 
  4000