Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.62" was replaced by "(162/100)".

Step  1  :

 1.1     10 = 2•5

(10)²⁴ = (2•5)²⁴ = 2²⁴ • 5²⁴

Equation at the end of step  1  :

  162
  ——— • (224•524)
  100

Step  2  :

            81
 Simplify   ——
            50

Equation at the end of step  2  :

  81
  —— • (224•524)
  50

Step  3  :

Dividing exponents :

 3.1    2²⁴   divided by   2¹   = 2^{(24 - 1)} = 2²³

Dividing exponents :

 3.2    5²⁴   divided by   5²   = 5^{(24 - 2)} = 5²²

Final result :

  (34•223•522)