Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.44" was replaced by "(144/100)".

Step  1  :

 1.1     10 = 2•5

(10)¹⁰ = (2•5)¹⁰ = 2¹⁰ • 5¹⁰

Equation at the end of step  1  :

  144
  ——— • (210•510)
  100

Step  2  :

            36
 Simplify   ——
            25

Equation at the end of step  2  :

  36
  —— • (210•510)
  25

Step  3  :

Multiplying exponents :

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

Dividing exponents :

 3.2    5¹⁰   divided by   5²   = 5^{(10 - 2)} = 5⁸

Final result :

  (212•32•58)