Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.3" was replaced by "(13/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁹ = (2•5)⁹ = 2⁹ • 5⁹

Equation at the end of step  1  :

   24        13
  (——•(1010))——•(29•59))
   10(       10

Step  2  :

            13
 Simplify   ——
            10

Equation at the end of step  2  :

   24              13
  (—— • (1010)) ÷ (—— • (29•59))
   10              10

Step  3  :

Dividing exponents :

 3.1    2⁹   divided by   2¹   = 2^{(9 - 1)} = 2⁸

Raising to a Power :

 3.2    5⁹   divided by   5¹   = 5^{(9 - 1)} = 5⁸

Equation at the end of step  3  :

   24
  (—— • (1010)) ÷ (13•28•58)
   10

Step  4  :

 4.1     10 = 2•5

(10)¹⁰ = (2•5)¹⁰ = 2¹⁰ • 5¹⁰

Equation at the end of step  4  :

   24
  (—— • (210•510)) ÷ (13•28•58)
   10

Step  5  :

            12
 Simplify   ——
            5 

Equation at the end of step  5  :

  12
  —— • (210•510)) ÷ (13•28•58)
  5 

Step  6  :

Multiplying exponents :

 6.1    2²  multiplied by  2¹⁰   = 2^{(2 + 10)} = 2¹²

Dividing exponents :

 6.2    5¹⁰   divided by   5¹   = 5^{(10 - 1)} = 5⁹

Equation at the end of step  6  :

Step  7  :

            (212•3•59)
 Simplify   ——————————
            (13•28•58)

Dividing exponents :

 7.1    2¹²   divided by   2⁸   = 2^{(12 - 8)} = 2⁴

Dividing exponents :

 7.2    5⁹   divided by   5⁸   = 5^{(9 - 8)} = 5¹ = 5

Final result :

  240            
  ——— = 18.46154 
  13