Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.1" was replaced by "(61/10)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

         61
  100 • (—— • (23•53))
         10

Step  2  :

            61
 Simplify   ——
            10

Equation at the end of step  2  :

         61
  100 • (—— • (23•53))
         10

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2¹   = 2^{(3 - 1)} = 2²

Dividing exponents :

 3.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  3  :

  100 • 6100

Step  4  :

Final result :

  610000